I have both a built in generator and also a Honda 2000. The Honda is primarily for my TT, but recently I've been thinking that I may use it for the TC also. The built in is sure convenient, and in my case relatively quiet but it uses a fair amount of propane and if I'm winter camping I would probably use the Honda for longer runs so that I save the propane for the furnace.
Getting back to the convenience thing, it sure is nice just pressing a button inside the TC when you need the power!
As far as the oven is concerned, we seldom use ours in either rig, but it makes a fine cabinet and is available if we do want it. We keep our larger fry pans in it. I would never delet the microwave though. We use the heck out of it.