Folding Table question

Fresno Ideaworks, my local maker space recently received the donation of an X-Carve 1000. I am planning on building a “flip top table” along the lines of Targ’s. One of the questions that has come up is how stable is this design? Is the much lateral or fore/aft movement when the X-Carve is running?

Any real life experience will be appreciated.

Thanks.