I have seen such an issue happen a LOT of times, both on my PC and on others. The issue is neither the GPU, the PSU or anything hardware related. Check the entire house for electronics connected to outlets and it's VERY likely the flashing happens when one other device/machine switches modes (eg: standby to active or active to standby) such as a fridge turning on and off with the thermostat (when it switches between freezing and idle) or something similar. The last component to get power on a PC is the GPU since it's the lowest priority (priority of components powering on goes PSU→Motherboard→CPU→SATA/IDE devices→Disk Drives/USBs→RAM→PCI Express slots aka GPUs and added cards such as sound cards), so if some other device/machine in the house momentarily draws sudden power like most do when switching between modes (eg: fridges like I mentioned) and the power grid is almost at full capacity single-phase, less power will come out from the outlet to the PSU so to keep the computer running power from the GPU will be cut off for a moment (GPU memory stays on though so display isn't lost) until power grid's balance returns. If it is indeed caused by some other device connected, there's nothing to worry about, it doesn't hurt the PC at all even in the long run so don't worry too much about it. If you are unsure, simply borrow a UPS from somewhere and connect your PC to it, if flashing still occurs it's exactly what I said.
PS: For general reference, MOST electronics the moment they power on draw a LOT more power for a split second compared to how much they use up after they have powered on, so things like this can happen often on single-phase grids. It's a power safety option instead of letting the grid surge (which would cause power to go out completely) and is related to switchboards, not the PC, with PCs being made with that in mind, better to get a screen flash after all than lose all your work by sudden shutdown.