Brett, you got that right! I found out trying to remove some head screws.
I know for certain that there are two street/trail Suzuki 90s running around in the world with completely rounded-off "phillips head" screws, and marks from vice-grips around the outside.
Another big issue, and particularly bad with model engine head bolts, is using a driver that is too small. The correct one (Phillips, JIS, even slotted) is the biggest one that can possibly fit. It usually looks ridiculous using a giant screwdriver on a tiny screw, but that's what it needs. Unfortunately, many times for head bolts, the right-sized driver won't fit in the head fins because the shaft is far too wide. They make electrical parts screwdrivers that are relatively narrow, but you might still have to grind them down on the outside edges to get them to fit.
This was a big problem on the ST46 even with the slotted screws, because even the narrow electrical parts screwdriver of the correct size was about a factor of two too big. I eventually got a small cylindrical screwdriver and then greatly blunted the tip to get it the right width. I still keep that in the box with the ST parts. The Craftsman that fits in the head fins is probably 1/3 the thickness it needs to be.
You shouldn't be able to rock it back and forth for any appreciable distance, if you can, it is too sharp. With a proper fit, there is essentially no "slop", if you turn the handle, either the screw moves or the shaft twists.
Get it to fit right and the screws themselves are fine, even the Fox screws.
Brett