There was a thread in another forum recently wherein a fellow was using a highly-regarded tube preamp with a very sensitive SS power amp. The amp kept going into shutdown, and after much discussion with the preamp's designer, it was determined that there was just enough DC leaking from the preamp to trigger the amps input sensors. So, yes, it's a thing, unfortunately.
A while back I was using some very pricey output capacitors in my homebrew tube preamp. One day the sound disappeared on one channel. After a lot of fussing around I finally figured out that one of those pricey caps had shorted, sending 150VDC to my homebrew tube amps. Fortunately, as Lynn says, tubes are pretty tough and there was no meltdown. But I learned a) to avoid pricey boutique caps and b) that tube preamps can definitely be tricky with sensitive amps.