Yes, old topic but same problem.
My TL866II plus will not program a 2732 from Intel, TI, AMD, ST. They all fail immediately.
Tried 2764, 27128, same result.
Tried 27Cxxx and they work fine!
Seems like the current draw of the old eproms is too high.
Checked the 5V at the usb connector of the TL866, that doesn't drop below 5V.
It must have a weak internal power supply. Could not read old masked roms either, Vcc dropped to just above 3V.
Will look for another programmer, this is unusable for me as I use these old eproms most of the time.
The component test function is nice, the only reason to keep this thing from ending in the bin.