Just my opinions...
If I had to characterize a big box of random tubes, a tube tester might have some value. But for troubleshooting, I find them about useless. I maintain that a tube tester - a TT for short - can verify a tube is bad for you, most times, but it rarely can tell you a tube is good.
It is a rare tube tester that can tell you a tube is microphonic, or noisy. And it won't tell you if a tube just sounds bad for some reason. And as JM indicates, most do not put real world conditions on a tube. COnsider testing your car while it idles in the driveway. You will never find out that it shimmies on the freeway, or gasps for breath on hills.
A TT may not show a short, but we just heard that that is no guarantee. It will show emissions, yes. And if I am working on an amp, I probably already knew the tube lacked emissions. The TT just verifies it for me. And rare as open heaters are, I can find those faster with my ohm meter than I can set up the TT and run the tube through it.
But in a repair situation, it is SOOOO much faster and more definitive if I suspect a tube, to just stick a new one in its place and find out.
There ARE some very serious TTs out there, and you can certainly invent one. But I refer to commercial TTs like one would have around an electronics shop.