If the board can't run the CPU you put on it at maximum load 24/7 without a problem, then I wouldn't use it. It doesn't matter if you don't anticipate using it for that sort of workload or not, it still needs to be able to run at peak power levels for extended periods of time. Odds are at some point along the way you WILL run it that way (trans-code a video? stream and transcode on the fly while gaming? Heck, maybe you'll want to do SETI, or BOINC, or Folding. Either way, it would be pointless to build a computer that has to be babied. You can buy that sort of crap computer from walmart already assembled. Don't waste time building a computer with bare-minimum parts, it doesn't pay.
Would you use a PSU that can't be trusted to operate 24/7 at the peak power dissipation of the machine? No. Everyone knows the PSU is critical, and needs to be well built and properly sized. Same thing applies to the VRMs for the CPU. Skimping on VRMs is just as bad as skimping on the PSU.