My experiences with tube headphone amps so far lead me to believe that a lot of the potential drawbacks are just hype. The amp will sound 95% as good as it is going to sound within 5 seconds of powering it up. There is really no need to wait. The tubes used are generally low voltage and will last years. I’ve used my LD2+ for almost 2 years now, usually leaving it on 24/7, and the unit continues to work fine and I have not had to replace a single tube yet. As far as tube availability, even if you never went beyond the stock Chinese tubes IMO it would still be very much worth the investment.
As far as long-term reliability goes, we have an old Philco radio that is about 4.5 feet high, 3 feet wide and a foot deep, not sure how old it is but I’d guess somewhere between 1920 and 1950. It worked perfectly up until about 5 years ago, when we were moving stuff around and planned to move it to the other side of the room. When we moved it away from the wall, we noticed that the power cord was dry, cracking, and falling apart; to the point where you could see bare wire. At that point we were afraid to plug it back in, but up until that point all of the individual components, including all of the tubes that we never replaced, still worked.