All of the “Component Terms” related instructions on that page only related to Vision. Perspective doesn’t (currently) have any notion of ‘component-level’ terms. Using the ‘global’ translation manager is the right way to enter translations for Perspective.
I thought that might be the case, but I was influenced by following a link from a Perspective page. And on the page I landed it didn’t seem to be very clear about it.
Yes, a lot of the manual was copied directly from 7.9 or earlier, where an implicit assumption was made that Vision would be the only ‘visualization system’ Ignition ever had. The documentation team is in a continual ship-of-Theseus situation to try to keep up with the moving target that is Ignition, and some things slip through the cracks.