Correct voltages are critical, therefore, as an electronics technician myself, I sure would NOT ignore it!!!!
Typically software monitoring, BTW, "IS" very accurate. All the software does is read a hexadecimal number provided by the sensor. It is just like you or me reading 60mph on a speedometer. Unless we are blind, we can assume we are accurately "seeing" 60mph on the speedometer. But are we really going 60mph? Don't know. What does the police's "calibrated" radar gun say?
Typically the issue is the sensors. These computer voltage sensors are very low cost (a couple pennies, if that), and very low-tech devices. Is the sensor accurately reading the actual voltage? We don't know unless we put a known-to-be-accurate voltmeter on test points.
My concern is this. Typically, when there is a bad sensor, only one of the voltage readings is way off. But all 3 of yours are. That is not right.
Typically, I would suggest you try a different HW monitoring program but you already said you tried HWiNFO and it too indicated high voltages. I find that even MORE alarming!
You
really need to verify your PSU is outputting voltages properly.
You can do this with a simple multimeter using one of your PSU's spare power connectors for test points.
According to the ATX 2.x Form Factor standard, PSUs must maintain voltage tolerances within ±5% of required specifications.
Acceptable tolerance maximums:
12VDC ±5% = 11.4 to 12.6VDC
5VDC ±5% = 4.75 to 5.25VDC
3.3VDC ±5% = 3.14 to 3.47VDC
Note: For very new ATX 3.x compliant PSUs, the allowed tolerance for the +12VDC output is -7% to +5% which equals 11.16 to 12.6V.
If you don't have a multimeter, a good
PSU Tester, one that displays the actual voltages will do - at least in your case. While not conclusive (because it only has a small internal "dummy" load and, like most multimeters, does not test for excessive
ripple and other anomalies that affect computer stability), it will still verify if those voltages are in the ballpark, or way off.
HOWEVER, because everything inside the computer relies on good clean stable power, I personally would not take any chances. I would swap in a known good PSU, then see what the voltages say. And that is what I recommend you do.