Let me take a different approach here if I may.
On your machine do you need one or two wrenches to tighten or loosen the collet?
If only one, a 3 axis touch plate to re zero would probably be the best bet if you do move it.
Charlie’s block can be found here, I have one, use it and love it.
If you use two wrenches, like I do on my quiet cut spindle, one for the shaft and one for the collet, operate them both with one had like a pair of pliers. put them in position on the spindle with the handles like a “V” and in your open hand palm up. Close your hand bringing the handles in line with each other loosening the collet nut.
To tighten just reverse the handle position.
With one hand on both wrenches, the force to move both wrenches is counteracted against each other lessening the chance of moving the axis’s.
It’s an old woodworker trick from old style hand held routers.