I am not an electrical/tube guru, but I believe that if something failed within the tube (but not the amp) that caused that tube to draw way too much current, that would affect the bias on that tube and cause that tube to red plate. And I also think that you did the right thing by turning the bias all the way down before powering up with the replacement tube, even though you were interested in what your bias of your amp had been doing with the bad tube in it.
I take it from your post that your amps have one bias pot for the whole shebang, as opposed to biasing each tube individually? Again, I am not a guru, so I may be wrong on this part, but if that happened and then the tube actually died, I think that the bias reading (which would have been reading all tubes on that pot) would then have been quite a bit low.
If you can bias each tube individually, I guess you could put that tube back in the socket, back the bias for that tube socket all the way down, and then turn the amp on and slowly advance the bias and see what happens with the reading on the meter, but if things are running good right now, I wouldn’t--I’d just accept that the tube failed and move on.