Actually, it does matter - I have an 850 Watt PSU that can't handle OC'ing a single S3 (barely handles stock speeds). It loses hash compared to now that I run the 850 one one blade using two separate cables from the PSU (i.e. not a single cable from the PSU that has two 6-pin PCI connectors) and one 600 on the other blade.
Yep, a single 650 will likely not be able to handle OC'ing one S3. IMHO.
Was that 850W a single 12V rail PSU?
My wimpy 850 was single rail, rated at 58A. The voltage stability and level on cheaper power supplies can have a lot of variance and can even be just under 12V on a multimeter. Don't trust ratings alone. ;-)