The basic differences between white and brown rice is explained below (as written here):
An important first question to ask about all rice-and for that matter, most foods-is how much it has been processed. In the case of rice, processing usually involves milling and polishing. The outermost layer of rice, called the hull, is removed to make brown rice. Brown rice is rice with the whole kernel intact and the kernel is still surrounded by all layers of bran.
To produce white rice, the bran layers of the rice have to be milled off. Most of the rice germ is also removed during this abrasive grinding process. At this point in the process the rice is called milled, unpolished white rice. Finally, a wire brush machine is used to remove the aleurone layer that remains on the rice. This step is called polishing. As polishing is not an all-or-nothing process, semi-polished rice may still contain parts of its aleurone layer.
Additional information about brown rice (here):
[Brown rice] has a mild nutty flavor, and is chewier and more nutritious than white rice, but goes rancid more quickly because the germ—which is removed to make white rice—contains fats that can spoil. Any rice, including long-grain, short-grain, or sticky rice, may be eaten as brown rice.
So, because they are processed differently and have different parts of the grain intact or removed, your method of cooking is going to vary.
I have used this method of cooking brown basmati rice with pretty good success. It includes washing the rice a number of times prior to cooking and adding salt. This method advises adding oil after the cooking process, but I typically add it into my rice while it cooks, or even sauteeing the grains in oil then adding water to the pot to cook.
It is also suggested that leaving your brown rice to soak for 15-20 minutes (and sometimes even longer) can be beneficial as well.
All of that aside: if you're looking to stick with a flavor and texture similar to that of white rice then brown rice may not be your thing. I know that as a jasmine rice eater I do not particularly care for the texture of brown (even brown jasmine). As mentioned above it does have a "nutty" flavor and is "chewier" regardless of how well/properly it is prepared. It changes the flavor and feel of every dish I serve it with. Just a heads up.
This lady is pleased with the results just using her one-setting cooker: Sticky Rice. Note, she says in the comments that she uses 2 cups (or slightly less) water to 1 cup of rice (which makes sense) not 3 cups rice to 2 cups water like it sounds like she is saying in the video. She rinses the rice well, but does not soak it.
EDIT: With things like this there are often "camps" of differing opinion. I doubt that Michelin Starred restaurants that include sticky rice on their menu ever use rice makers to make said rice. I am reminded of this: Turning regular noodles into no-boil noodles. Even though there are thousands of recipes online for making lasagna without boiling the noodles, I say pfftthhfft. Sure, you can do it, if you don't mind High School cafeteria food. (Remember the Church Lady? "Isn't that special?" Think like that.)
I am less of a connoisseur of rice than of baked pasta. That being the case, I'm not sure that I would notice the deficiencies of sticky rice made in a rice cooker. With that in mind, and assuming that you are not on a different stratosphere of connoisseur than I am, I recommend that you give it a shot and let us know how it goes.
Yet Another EDIT - I Tried It
I used this brand of sweet (glutinous) rice:
I used 2 cups of rice, thoroughly rinsed, 1 tsp salt, 3 2/3 cups water, and the only setting my simple, old rice cooker has.
My lid is glass, and I could see that there was still quite a bit of water on the top of the rice after the cycle was complete (short, 30 minutes or less), so I waited 15 minutes before I lifted the lid.
Since you can't see the rice without opening the cooker, I recommend that you do the same, wait 15 minutes before opening.
After 15 minutes I checked it out:
It's absolutely fine. Is it as good as the the great Thai place down the street? No. But it's close. The only thing I would (and will) do differently next time is to only use 3 1/2 cups water to 2 cups rinsed rice and 1/2 TBS salt.
After it finished last night, I was suddenly too tired to mess with it anymore, so I just left the cooker on warm, and went to sleep. 5 hours later, if anything, it's improved.
It was fine without it, but I'm intrigued by @GdD's answer here. Later, I'm going to try making the rice again with the above measurements plus 1.5 TBS sugar, just to see (more just seems like too much). Making sticky rice without rice cooker
Final EDIT I Promise:
Yep, that worked. It does brown a bit at the bottom of the rice cooker, but I like that. I enjoyed that as much as sticky rice from the Thai joint. It's not the same, but it's really good. So, there is my recommendation. Have fun!
The lady who made the video has responded to me on YouTube. She seems grateful and flattered. She had no corrections.
Best Answer
The rice can make the difference. The rice:water ratio can make the difference.
I don't know the figures for Jasmine, but quite famously half the bags of Basmati sold are not, in fact, Basmati. See The Great Rice Scam.
The images shown on that site give the impression they do aim for 'slightly sticky' so you can pick up with chopsticks.
First tests would be…
Reduce your water content.
Let it sit an additional 15 minutes once finished.
Experiment with leaving the lid on vs removing it & placing a sheet of kitchen roll over the top with the lid on just enough to hold it flat. [Greek/Turkish method]
Personally, I never rinse rice & I never use anything other than a regular saucepan. Perfect rice every time, in 30 minutes.
1 : 1.6 rice : water. [more than a pressure cooker of course]
Drop boiling water onto ready-salted rice in a pre-heated pan. This causes a flash boil which immediately separates the grains.
Quick stir once. Heat to minimum, lid on.
15 minutes at lowest heat.
Switch off. Leave 15 minutes more.
Done.