If you don’t cure a ham and just brine it, is it just considered a pork roast

Whether or not it's a good idea is subjective, but the Chinese seem to break that rule a lot! For example, Northeastern Chinese sweet and sour pork (guō bāo ròu) is characterized by an intense ginger flavor. The Sichuan classic twice cooked pork (huí guō ròu) calls for boiling the pork with ginger. A common condiment for beef dishes/sauces is black bean garlic paste (蒜蓉豆豉酱). Perhaps this saying is associated with a specific Chinese regional cuisine?

Sadly no mater what you do, you are going to come out with non-optimal results. I would go with the oven method over the grill as you need to get the meat up, but you want to do it with out losing all the juice/fat you have already taken all the trouble to convert to gelatin. The grill is going to raise the outside of the meat much quicker that the inside (mostly, you can use your grill as an oven but in this case I don't think it brings anything to the table that you regular oven doesn't).

The best way, and by best, I mean the one with the tastiest results, is going to be put the butt in a 200 to 250 degree oven and let it come up to temp. This method is going to take the longest but will preserve the meat that come off the grill as close as you could.

Or, you can heat just like a roast and let the outside overcook a bit.

or, depending on how you are serving the finished product, you can slice cold and finish in a skillet to heat though... this would be great if you are doing sandwiches or pulled pork.

If you are feeling adventurous, 130 degrees plus smoke is a little on the rare side but it would still be delicious... not for this one as you let is cool on the counter top and fridged it but on the next one, I might just eat it then.