Hi Paul,
First there are many ways a tube can fail, and it depends on how hard they are driven, how high the voltages are, and how high the current levels are, and beyond that, perhaps
just plain luck. One of your 5687's could have been losing vacuum, or become gassy, or maybe the current was set too high through it. To fail in a few months maybe it was the tubes' fault, or maybe the amps' fault. Using another brand 5687 tube will tell. If it fails within a year or so, then its likely it was the amp. If it survives, well maybe it just was that Philips tube. Tubes can last for tens of thousands of hours, or even decades if treated right, or they can fail in weeks or months if highly
overclocked in terms of voltage and/or current.
I designed a SET Amp and I used the same tubes for around 9 years. About six months back I switched the input tubes (from NOS USA's to used W.German Telefunken's). Happens, I prefer the sound of the Telefunkens, and these were used tubes which probably had 30 years of use already. So you just never know. So while there probably was no need to throw out your "other" Philips 5687, someday soon you might need a spare and regret throwing it out.
Tubes don't last forever, but hey, transistors also have certain failure modes too. Typically some 30 yo transistors need replacing with the same symptoms as some tubes, more hiss, lowered gain. And overloaded transistors blowup immediately, at least tubes usually tend to be more forgiving - glowing red and taking their time.

Interestingly a friend of mine recently had a 5687 tube (NOS Amperex World Logo) fail in a 211 based made-in-china amp. He also has had a problem biasing the NOS 211's, which are GE's, and I supect that his Chinese Amps are either driving the input tubes too hard, or pulling too much current through the 5687's because the 211's have got a problem, are gassy, or out of spec in some way. In a simple circuit, things tend to interact with each other more so than in more complex circuits.
Currently, just for fun, I'm making an SET amp that is all 5687's - input, driver and output tubes. It will be interesting, as I have a box of equipment pulls, more than a dozen 5687's that were used for many years, maybe 10, 20, or 30 years, or more, and I'll be using them in this amp. So it will be interesting to see if I ever encounter any problems or failures. aa
Steven
Was listening this evening when my right channel slowly faded out. Something wrong. Turned off left channel; right is playing, very faintly. Ok, troubleshooting:
- Switched ICs - nope.
- Switched pre-amp channels - nope.
- Switched monoblocks - yep. It's the amp.
These are Consonance Cyber 845 SET monoblocks (see my pic) that I've had for 8 months or so. Hoping it was a tube, I start replacing them, power tube first (nope), then the 5867 input - yup. Replacing that fixed it. Yes, the tube was still lit - it looked completely normal, just like the other amp.
This is my first time experiencing a tube failure. It ought to be very rare with small signal tubes, no? This was a NOS Phillips that supposedly was new. So, no more than 400-500 hours on it. Of course, it ought to be good for 10-20x that. Of course, it may not have been new - it's always a crap-shoot and I sure don't have a tube-tester.
Anyway - yes, maybe I am actually going somewhere - I got to wondering how common this is? Premature tube failure in non-power tubes? Extremely rare? I have only been listening to tube year for 15 months or so.