Good questions, not every answer is a simple one though. I do gig regularly with several bands and have roughly 30 kits, and half are '70s and earlier vintage.
1- Are your vintage drums a museum piece? On display but rarely played.
I have one such kit, my 1944 L&L Victory kit. All others are stored, and ready to play, but only in certain situations (see #3)
2- Are your vintage drums house kits? Set up and played at home but never gigged?
No.
3 - Do you gig occaisionally with your vintage drums?
My '70s kits see some live action, the '60s kits not yet (I have an immaculate '66 Oyster Blue Super Classic kit I'm dying to take on the right gig!) But I have a lovely Ludwig transition kit with its original plastic heads that only gets used in the studio with one of my bands.
4 - Exclusively gig with vintage gear?
No.
5 - Do you have drums that you gig with and drums that stay home?
Apart from the Victory kit, every kit is eligible for a gig or session. I do have certain drums that are used for certain bands/venues, and my touring kit for Weird Al is exclusive to that gig and just lives in flight cases (cymbals, sticks, electronics, everything.)
Bermuda