Now in 2025 builds we have the ability to use ui.rolloverParGroup which works also with rolling over these names, but this popup makes it a bit annoying to integrate to tools.
I propose having a keyboard modifier or a preference that dictates when this shows up.
there is a preference for showing the last script change in the parameter popup help which by disabling would reduce the size.
More control via kind of a optout settings system for these UI elements can be useful. It looks like you are planning on using this for a mapping feature, so temporarily turning this off could then be realized via controlling the setting directly.