It's not stated if the power supply was measured under load or not. It needs to be measured under load if you want to test load regulation.
The +5V outputs are only +3.5% which is fine considering the supply is probably rated at +/-5%. This supply is well within the specification for both TTL and CMOS logic, how can this possibly cause damage??
Granted that the -5V supply is outside normal limits. That may or may not indicate a problem, depending if this was measured under load or not. As I recall, -5V is routed to a rarely used pin on the serial port. It's not required to run any of the computer logic, which runs entirely from +5V.
Given the measured results, the power supply should not be the cause of the computer not booting. Of course this needs to be measured under load to have any relevance.
@orb85750
Non-booting problems may be caused by the failure of a single IC anywhere on the board, a single bad connection in an IC socket, a single PCB track failure (corrosion), etc. So while the non-booting symptoms are the same, there can be many different causes for it.
The best approach to booting problems is to check for visual problems first; physical damage you can see. For example, if there has been battery corrosion, check PCB tracks and vias are not open circuit. Check socket contacts for corrosion and replace accordingly.
Secondly, most people are limited to swapping out socketed devices for known good parts. It can work well so long as ICs don't get damaged in the process. I've seen many instances where people try this and end up causing more damage due to putting ICs in backwards, bent/broken pins.
Lastly, you can go a bit further with an oscilloscope or logic analyser. Checking bus activity, clock sources, reset lines, etc. It's time consuming and requires equipment and skill that many people won't have.