Agreed: considering that the only power provided to the bus board is from the power supply, it would be significantly more complex to provide “power inspection features” (since powering the board incorrectly wouldn’t allow such features to operate) beyond the power indicator LEDs. Instead these 3 LEDs, along with appropriate resistors, run between the three power lines and ground. The appropriate resistors mean you get the required current for maximum brightness for each LED. If the power is incorrect (e.g you swapped 5v and 12v or -12v and ground) one or more LEDs will be a noticeably different brightness to the others (brighter, dimmer or off). This won’t catch all possible problems, but it will catch you accidentally interchanging the power leads.
As was said: The best bet is to use a multimeter. Note: I recommend against testing directly on the headers (it’s very easy to short circuit things like this). Instead plug in a (ideally 16->16) power connector (like you’d connect a module to) and confirm the voltage of each pin reference to ground. Typically I do this in two steps, first I check for continuity between the 6 ground pins when unpowered. I then power the system and check the voltage between any ground point and all 6 power pins: the end two by the red stripe in the ribbon are -12V, the next 3 pairs from that end are ground, the next pair is +12V, the next +5V. The next two pairs won’t be connected to the power supply, so you can ignore them for these proposes. If the voltages are okay (including polarity), then you are good to go.