It might be worth tracking down why your drummer seems to be playing at a different tempo.
Did you send the song file as a wav or other audio format?
Did you ask if the drummer is intentionally changing the tempo for some reason? I don’t think any normal audio playback software would change the playback speed by 5% without an intentional setting change.
Did an experiment last night…created a short 60 second track at 100 BPM, sent it to him as a wav…when he imported it into Ableton, he set his BPM at 100, but it came in at around 105.
This really sounds like a 44.1k vs 48k resample issue honestly. Are you both working at the same sample rate? Is there a difference if you are both working at 48k in particular?