I would say that it's "fixed" if the problem no longer exists, however, I would try a different 12AX7 in there to see if you had a bad tube or if the lower gain is what made the problem go away. If you go to a tube with even lower gain you will eventually get to a low enough level of gain to prevent the trem from starting up at all. This would define being completely fixed vs having found a workaround solution that stopped the problem.
I had a '66 Bandmaster that had the same problem start after owning it for 10 years and simply swapping a different tube for the original RCA fixed the tick. I assumed the tube had started to go bad, but it worked fine even as a first gain stage in other amps so I popped it back in and it was fine in the Bandmaster tremolo position again. My guess is that mine simply got some oxidation on the pins/socket and swapping tubes cleaned it off the pin or the socket.
Since it now seems to work properly, I would shoot the pins of the original tube with some contact cleaner or Deoxit and try the original tube again, or pop another tube of the original type into the slot to see if the problem is completely gone (really "fixed") or if it's the lower gain that made the tick go away...simply out of curiosity. It would also give you a hint as to whether the tube you pulled is going bad.