> So why don't we use NE555....
The newer chips are better promoted. And documented for this chore.
The 555 is a big crude beast. It can dump 200mA, much more than the new toys (far-far most than CD400x CMOS gates). OTOH it wastes about a Volt, which hurts when working from 5V or 3V supply. And sucks quite a few mA even when not doing anything; the new-toys are far thriftier on small loads.
There are times when the new-toys just won't pull the load. Your "80V" supply has 8X leverage. (Already we see you only get 10.1V action from your 12V supply: that's about half 555 losses.) Whatever current you suck from your 80V node is reflected back at least 8 times bigger (and I suspect 16 times bigger?). So even with the brutal 200mA available, you may only get a few mA at 80V before smokage.
And classic 555 is not protected against all overload.
Note also that small diodes like your 1N4148 may be rated 100mA. The 555 may be able to kill the first one before it quits. If they survive, the first diode has a few tenths more voltage drop (multipled by 8 to the final voltage) than a larger diode. However jellybean 1N4007 won't turn-off quickly at 20KHz rates, which spoils the action.
> Not tested under load yet
That may be more "fun". Wigging the short end of a stick with 1:8 leverage is tough, much tougher when something is on the other end.
Ratios like you propose are more often done with transformer than diode-string. One lossy part instead of eight. But as mentioned, magnetic design is alien to many of us. You can get started by using wall-power iron. 12VDC totem-pole into 6VAC winding, or 12VDC push-pull into 24VCT winding, 100Hz-500Hz, can induce near 120V squarish-waves on the 120VAC winding. Yes, 400Hz vibrator is audible, but common power iron gets lossy long before you get out of the audio band, and you just can't beat the availablity of small power iron. Many-many car radios ran 400Hz vibrators and the whine was not too bad.