It shouldn’t, unless you make the frame from an unstable timber. It’s easy enough to level two trestles and that’s all you need for support.
Here’s my base - the table top just sit’s happily on top - I’ve used 3mm MDF skins. I think on the LR2 I used a 12mm top skin because I had it - details are on this thread-
My unnecessarily complicated yet simple torsion table for the LR3 build starts about here: