It depends on how it's done.
Passive PFC (at least when done with charge pump) can increase the heat generation inside the PSU and decrease the PSU efficiency (compared to a APFC PSU). I'm not now talking about the utility company transmission efficiency of a PFC vs non-PFC supply, but the PSU efficiency of a passive PFC vs active PFC supply. A Higher PSU efficiency means less heat inside your case.
Then again APFC PSUs may increase harmonic emissions into the power line for short durations when compared to a passive PFC (done right).
I think for normal house hold PCs, not using electronic motors and not having EMI sensitive equipment around, Active PFC would be a better choice IMHO. Just based on efficiency and heat alone.
This is just my humbel opinion and I'm not an expert on the issue.