As I've said in the other comment, I believe this should be ultimately addressed by the SI.
Right now what we've got is basically "millis", and you just have to know whether the speaker is talking about length or mass. I like your proposal.
There are filters we measure on power, there are filters we measure on signal amplitude, and "signal amplitude" can be ambiguous on some contexts too. There should be a way to specify this one better.
Some Scientists and Mathematicians would rather use random log_10(x) functions than allow units like km/km in their formulas. It's wild, and SI has been a part of those decisions all along.