The PSU (notably in this case the M/B VRM, not the ATX PSU) can't really trigger brownouts. 1.05V is 1.05V, and if asked to do so, the PSU will deliver 1.05V. It will just get hotter while doing so over time (and specifically: capacitors degrading.) The voltage references are quite stable over time, and so are the window comparators that ensure "1.05V" is between, say, 1.035V and 1.065V. (Voltage references have essentially continuous engineering history back to the 50s≈60s, it's a "solved" problem.)