Good, although brief, discussion of the 6EM7 on Thomas Meyers’s Vinyl Savor page. It looks like a TV tube, not designed for audio, so NOS examples might be somewhat variable (the application in the deflection circuits of a TV would only have moderate requirements for linearity).
No current production for obvious reasons ... vacuum tube TVs disappeared fifty-five years ago, along with the tubes that went into them. But there’s probably plenty of old stock.
Analog vacuum-tube TV’s, particularly the inexpensive B&W models, had pretty bad picture geometry. Once integrated circuits took over in the early Seventies, picture geometry got a lot better, and all of the many different service adjustments went away. NTSC and PAL color TV is a lot easier when all the complex signal processing is inside a single chip, instead of several tubes with many adjustments.
Collectors prize old 21" round-tube color TVs (1955 to 1967 vintage), but they are not easy to keep running (with many adjustments and 26 to 28 hot-running tubes) and CRT refurbishing services went out of business about ten years ago.
Would I use a TV-only part in a new design? No, I would not. Zero chance of LinLai or JJ putting it back in production.