I probably should have been more clear too, what psu exactly. Size means nothing. Older psus are primarily group regulated design and as such can have issues with ultra low power states such as in deep sleep. Newer designs use a DC to DC system and as such are very tolerant of low power states.
In low power states, there's minimal voltages running through the system, the cpu designating exactly how low it needs. In group regulated designs, often this is below actual output of the psu and it basically stalls, not off but not enough to turn it self back on when trying to wake from sleep. This results in monitors not turning on, pc lights being on but nothing doing anything, it's like it's stuck sleeping and requires a hard shut down to reset the psu and allow it to start normally.
The only cure for this is either a new psu that's DC to DC, or in bios/windows power disable c-states lower than C3. IF there is hibernation / hybrid sleep enabled, this too should be disabled. Hibernation is a function of laptops, that have 0 issue with low power states since batteries are output on demand at any level.
Hyberfil.sys is the major component of hibernation, but it's also used by Fast Boot, (almost useless with an SSD boot drive) and fast boot can cause issues similar to deep sleep issues, usually requiring hitting the power 2x or more which bypasses fast boot and becomes a regular slow boot. Hyberfil.sys also quarantines 75% of your ram size for its own use so if you have 16Gb of ram, you loose access to 12Gb automatically. On a 120Gb ssd, that's a good chunk of space.
Permanently removing Hyberfil.sys will not hurt a pc in any way, its totally useless. Just follow the directions. Between setting c-states and removing Hyberfil.sys, this should fix the issue, does in 90% of cases, but if it doesn't, at least it's a possibility thats off the table.