I think the friction modifiers would be more of the issue and cause problems than it being synthetic. I've been running straight Mobile 1 sythetic gear oil in the factory weight since the gear and True Trac swap with no issues, about 5K miles.
2002 Silverado 2500HD LB7 CCSB LT
EFI Live by Rob at ATP, Edge CTS Insight DSP 5 control, S&B CAI, PPE boost valve, Pro Fab AIH, AirDog II 165, PPE WIF sensor delete plug, 5" stainless exhaust, Cognito braces & HD tie rods, H2's 315/70 R17 BFG's
2004 Tahoe LT
2006 Silverado Z71 LS
1971 Chevy C10