Basically, my question is as the title asks. If I get to 10k reputation and then give away reputation points bring me below 10k, will I still have access to moderator tools?
If you win a million dollar prize, and then donate half of it to some charity supporting set theorists from Math.SE and MathOverflow, will you still have a million dollars? (Assuming that you had less than half a million to begin with, of course...)
Also on meta.SE, Notify user when setting a bounty will revoke a privilege, for example. Or Can you lose an ability if your reputation falls below a threshold?... and many others here and in other search parties over there.