Correct, it's unlikely Over Current Protection which is tripped when you draw too much current. Typically you would trip OCP when overclocking or if you have a PSU that is too small for the graphics card you have installed. Also OCP would probably trip repeatedly when playing the same game. Not necessarily every time you play but it would have happened again at some point when rendering similar scenes.
BUT, power supplies have many protections. Here are some of them, and this list may vary by model:
(OCP) Over-Current Protection
OVP/UVP (Over Voltage/Under Voltage Protection)
OPP (Over Power Protection)
OTP (Over Temperature Protection)
SCP (Short Circuit Protection)
Which one tripped during the original incident? There is no way to know and it could have been something other than the power supply. Seriously, it could have been a particle from outer space passing through your PC and disrupting proper functions. It's extremely rare but it happens. I'm not saying that *is* what happened but you have to accept that the root cause may be beyond your understanding or control and at some point you will have to move on with life.
When you were flipping breakers in your house that would be a different situation. In that case you deliberately created a power fault which was interpreted by the PSU as unsafe and it went to a power off state requiring a manual start.
I'll repeat: unless it happens repeatedly this is not a problem you can solve. There are two options: You can choose to accept that now or you can let it plague your brain. There is no third option where you ask the right question and people suddenly tell you the answer they have been withholding from you. But you can keep spinning in circles and wear out the patience of every tech expert on the Internet so none of them will ever help you again.
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