If you are "sandwiching" the sides between the top and bottom, the gluing surface area won't change at all, it will be the same as if you used 1/2" or even 2" for the top and bottom, still 1/2" material being glued down.
I do agree though, using thicker material helps me sleep better at night
Personally, I'd use all 1/2" and a 3" eurobrace all around, yielding one top opening measuring 34 x 24".
HTH,
James