I think someone had changed some parts on your 371. The 371 and 365 were sold in 96 or 97 IIRC. They have always used the same parts. The 372 debuted in 2001. The 365 special had the semi transparent tank and side adjuster from day one. Husqvarna changed the plastic on the recoil cover in 2003/04 and added another support bridge between the air fins. The starter pawl assy is the same and interchanges.
I've never seen a 272 pawl design on a 365/371/372 yet and have had 25-30 of these saws. The air filter snap clips were orange on the older models, and change to the dark grey around 2000-2001 IIRC.
here is a 98 371Xp and a 2001 372xp. The recoil cover was cracked, so I put a newer double finned recoil on it. Husky added the support fin to help with fin breakage.