Hii F4,
I've done both, and I'd swear starting from west side at least seems to go by faster (even if it is slightly longer- though i'd swear its not). There's just something cool about coming up by teapot dome and underneath chaos crag... seeing the resurrection wall... yeah, I feel like I see more low flying condors coming up the west side too... AND you can look back to the balconies and machete...
... as Jim Morrison said, the west is the best.