Possibly... Im not an electronic expert but i change bad caps pretty often and i "fixed" many things this way. I usually rely on visual inspection but it is well know that caps can go bad without obvious exterior signs. Ive always wondered about how to approach this problem, as very often you cannot confirm a cap is bad without removing it from circuit... So far with computers i limit myself to physical evidences and it seems to be good enough. I would still check inside those PSU first thing if i were you.
Ive been repairing consoles too and it gets pretty interesting as in the console scene, problems are usually better known and more documented since every machine is the same and uses pretty much same layout and parts. Im thinking for instance about PC-engine Turbo Duo popping sounds that need changing some specific caps that do not necessarily look bad... PCE machines are particularly cursed about bad caps due to the time period and origin of parts it used... Some folks at PCENGINEFX stuck with issues actually made full recaps of their machine (30-ish caps) to once and for all get rid of their issues.
All this goes to show that, over time, caps aging can be a big source of malfunction and its not always easy to diagnose...
While your specific problem is actually pretty benign, you are obviously a curious person and your post touches an important issue for all of us collectors of old hardware. I support further talking on the subject.
FM sound card comparison on a Grand Scale!!
The Grand OPL3 Comparison Run.