I just gave it a try. I don't use Ableton but rather Cubase. I recorded a midi track from the P6 via DIN midi and then played the midi track back to the P6 and recorded the audio coming from the synth. There is indeed a lag however I measure it at about 1 millisecond which, as I recall reading somewhere, is about normal for midi. Same measurement using usb midi. In both cases midi output was off and midi input was on while recording midi and the opposite for the audio recording.
Could your problem be a setting in Abelton, perhaps?
I don't know. Honestly.
I compensate for the 50ms delay, which allows you to be synchronized.
Beyond that, new problems arise.
The captured midi sequence is not played completely, sometimes certain notes are not played. Or the sequence simply does not play. I have to place a small note a few pulses before to activate the thing.
Or just as great, the preset recorded on Prophet 6 returns to its original state when I start playback.
So whether it's one thing or the other, or I don't know what. It's very annoying.
I'm thinking of buying a midi router and switching off the usb. I'm also thinking of contacting tech support if nothing changes.
And of course the 2-year warranty has passed (November 2023!)
Happy if the device is damaged, especially when it costs so much and deteriorates so quickly.
Less than 400 hours of use.
For now I remain optimistic, there is surely a solution.