I should have read your post more carefully.
Seems the "designers" do not think the front stabilizers are necessary. But they have not spent the time you have in your TT.
I would expect that a rig that wobbles when you move about, will wobble more, when camping in a wind storm and that can be frightening. Yes, I would install front stabilizers.
Richard & Marilyn
2010 Ford F150, V8, 5.4 liter
2010 Jay Feather Sport 165