I appreciate your enthusiasm!
I guess the question is, how much of this kind of work are you planning on doing?
If you are only working on your own machines, you can do a quick go no-go test with +5v and +12v, I use a twenty year old arcade power supply, but I've used an old computer power supply to do the same thing. Your 0-30V dual supply is great for this, because you'll rarely find yourself needing more than an amp or two of +5v and less than that on the +12v.
Then you just use your machine to test everything else, because your machine will have all the voltages you'll need to test it's boards.
If you are planning upon testing other people's boards and you don't have a machine to plug them into, then you can do some limited testing with a bench supply, but most people start thinking about finding a machine of that generation with a cabinet that is destroyed and salvage the wiring harness and all the boards.
So if they are working on WPC-89 boards, they have a complete set of WPC-89 boards and wiring. This allows you to fully test the suspect part in a known good system.
After a few more years you end up with a complete test system for System 11 pinballs, Bally pinballs from the 80's, Gottlieb System 3's, Data East Pinballs, Stern Whitestar pinballs, etc...
It just depends upon how much you plan to do.
For your immediate question, yes, your supply will be just fine for a quick test to see if the LED's start blinking.
As for how much current... well, I mostly don't care. If the go no-go test gets the LED's blinking, and nothing gets obviously hot I just plug the board back into the machine (or my full-system test bench) and see if everything's working.
I can't think of any board I've worked on where I've made a point of writing down how much current something uses (OK, one board, an NSM Jukebox amplifier from the 70's that the schematic specified exact bias current to the base of the output transistors).
For pinballs pretty much anything that is using too much current will get hot, and THAT is what I check for. Checking if things get hot identifies the specific problem you've got. Trying to match expected current drain to a particular board sample... it just isn't too helpful in my troubleshooting. As the other poster's have suggested, there can be a lot of reasons why a particular board might be using more current without actually having any functional problem.
A lot of us have a dream of having a complete test bench for every pinball system we work on. With your nice benchtop power supply you are well on your way!