I have a general purpose amp in my workshop that I leave running 24/7/365. It runs the 6FM7, which is a compactron relative of the 6EA7. Your post reminded me to yank the tubes today and see how they look on the tester, and they are now finally getting weak. I believe I put them into service in 2011, so that's 60,000 hours of operation (maybe round it down to 50,000, I probably could've pulled these earlier).
In your case, that would mean your peak possible lifetime would be about 30 years, but I'd suspect the thermal cycling will reduce that a bit.