I assume it won't have much wobble as long as its current configuration isn't too different than its original configuration. If it is wobbly, will you put a full back on to secure it or only a partial back near the corners?
Almost the whole project is ripped out of the side panels of the cabinet which were pine board glue ups each measuring 5'x30"x3/4". The two side panels came from one of the doors, which had that half round stripe detail. It wasn't until after I ripped and stacked my stock that I noticed how cupped the boards were. Everything has a mild s-curve to it. Maybe 1/8". Clamping, glue and screws smoothed out some of it...
Anyway, doesn't wobble. Kid tested. Sits nicely on the floor