Can't unset Link Name

(Bug, To be Fixed , Priority: Critical, Test Status: No automated tests yet , Reported By Bad Link: Thing 3y284oe not found, )
Summary: This is pretty important: Link Name should have Optional semantics, not Required ones.
Original report from Eric:
Now that I've set a Link Name? I can't set it back to empty - if I try, the edit doesn't take!

(Though I can edit it in other ways.)