I happened to watch a video today where a guy was programming those eeprom with the UV window. I could spot the model number from a close up and did a search: that was a 12.75V unit! I went back on my Apple //e ROMs and they too say 12.75V. Shall I assume that those can be successfully programmed with the TL866?
Yes, the Vpp details matter. 12.75V is more modern / common.
You might find larger EPROMs that can fit into the same footprint. 27C64 is quite old, and small, so will have EOL'd a long time ago.
eg AT27C256R seems to be the cheapest/smallest OTP EPROM currently stocked
Winbond used to make MTP EPROMS W27C512 in 28 pins, but for new designs in 2020, you might choose a Flash part instead.