I don't think so. After applying 13.6 (Build22G109), my M1 Pro OS Loader version is 8422.141.2, which I believe is the same as 13.5
Yep, I'm also on an M1 Pro and have, on 13.5 (22G74):
System Firmware Version: 10151.1.1
OS Loader Version: 8422.141.2