My kid has been joining me as well. Stability is an important thing to me so the part about using it in the tent without worry is a major selling point for me.
Using any stove in a floored nylon tent ain't overly bright. That is what they make vestibules for, and also a stove with a lower profile is advantageous in a vestibule to keep the burner away from the sidewall. I would light it outside, in the rain if necessary and bring inside anyway. I use a hammock with a tarp so I just sit my fat azz on my hammock and place my stove on the ground with no worries.
As for alcohol stoves, the Caldera Cone is quite stable, but in 30 mph winds the whole thing could blow over in the wind as it weighs just about nothing. I have yet to see a "kick-proof" stove, alcohol or otherwise. Alcohol stoves work great for shorter trips if you don't actually cook, IE freezer-bag/water boiling is all you do. Two folks need two alcohol stoves. A father-son is better off with a cannister setup.
