If by Festool Fixed Clamps you mean the Clamping Elements (appears that different names are used in UK & NA), I generally use them fine without screwing in the below-table supports when I'm working on the top side of the workpiece.
However, it depends on the direction/angle of the force applied to the workpiece. If you are doing a lifting action on the workpiece, or anything that creates rotation, then the clamps can pop loose.