I've only owned and used a Trangia stove. Alcohol once lit if toppled over will simply follow gravity, the burning liquid will flow til its either absorbed by the ground in a porch, or go over your tent floor if you were cooking inside your inner tent. For that reason cook in the porch. You've only got a small amount of alcohol in the stove.
The stove (the bit with meths in which actually has the flame) is not attached to the cone which is your pot stand and windbreak combined so if the pot were knocked you get the pot's contents potentially on the floor but the lit meths would be not touched.
A canister cooker system, wherever the canister gets pointed so does the flame.
All canister systems have a mechanical aspect, thread between stove and canister, lighters and other carefully crafted aspects. A Caldera Cone and Alcohol type system is so much simpler if anything bends you can un-bend it whilst camping and very difficult to break.
Back to the original question, don't Trangia pans , the newer ones, have a small step in their bases now? I saw one of them did? That would just a produce a little wobble on a stove? They are meant to not rest on the stove directly but be resting on a ring inside the full Trangia 27kit.