Creating the right environment for bacterial fermentation
Yogurt is made using a few different bacteria which excel at digesting the lactose in milk at warm temperatures. Each of those factors (culture, temperature, composition of milk,) is important in creating an ideal environment for bacterial fermentation.
You would not try fermenting yogurt using yeast or a bacterial culture different from yogurt starter, and you wouldn't expect the yogurt to ferment if you held it your refrigerator instead of a warm thermos. The composition of the milk is equally important. If you change a major component of the milk, such as by adding sugar, some fermentation may happen but the result will not be what you expect.
"Live active culture" vs. actively culturing
There is a difference between bacteria that is "alive" or "active" and bacteria that is currently doing something.
Imagine dry baking yeast in a canister. The yeast is alive, but inert. It's not in an environment where it can do anything. Add moisture and carbohydrates for it to act on, and it goes nuts. Put that dough in the refrigerator, and it slows way down. Until you cook the yeast it doesn't "die" or "deactivate" it just has various states of activity depending on its environment.
The yogurt culture is alive when you add it to the milk, alive when you're done incubating it, alive when you add sugar, and alive when you eat it, But it can't turn milk into yogurt unless you give it a very precise environment -- the right culture, the right temperature, the right environment in the milk, including the right amount of sugar.
The glass jar should be mostly residue-free due to the smooth surface.
Sometimes slight traces remain when the jar is hand-washed but the harsher detergents usually used in dishwashers should get rid of them easily. (Side note: Don't do this to the coveted stained teapot of a true tea aficionado...)
The other parts are a different issue: often, they are not dishwasher safe and there are plenty of tiny nooks and crannies where coffee residue might "hide" and cling to and impart the characteristic coffee flavour - especially in combination with alcohol, which acts as a solvent.
If you are planning on using only the jar for your martinis, run it trough the dishwasher, give it an extra rinse with clear water just to be sure there is no trace of detergent and cheers!
Best Answer
There are two different processes.
Amino and glutamine acids break down into smaller components, γ-glutamylpeptides due to long cooking. These proteins create the "complete, rounded taste", kokumi, similar to the umami taste, which is more a feeling than a flavor.
The second process are enzymes breaking down fat into other components that we recognize as flavor, f.e. pentylfuran or heptenal. This process takes time and is independent from temperature and happens f.e. in the fridge overnight. It is similar to the process of aging meat.
Flavor pairing is a different process that is not related to this.
Reference:
Aroma - Die Kunst des Würzens / Flavor - The art of seasoning
http://www.amazon.com/Aroma-Thomas-Vilgis-Vierich/dp/3868510729