You are right, the FCC ID is not the model number.
But that FCC ID will tell you what the freq range, freq stability, TX emission designator, power output and FCC authorization ( PART 15, 90, 95, or 97 ) you might want to know.
A model might be band specific, or might apply to two or more bands.
So, if you have a good readable FCC OET authorization number, it will tell you a lot very quickly, then you have more info to work with looking for model, programming info, etc.
Not how everyone looks these up, but one of the ways I do it.
That FCC ID of ATH90F2427170 only comes up as a part 15, and the explanation is that it is a receiver, 450 to 512. And something like CB and communication receiver.
Makes no sense to me, unless that is a receive only radio.
Then again, it is from 1986, so that file info could be outdated.
I could not find anything by putting in the whole number.
But if you put in the ATH in the first "field" and only the 90 in the second field, the OET search will bring up several pages of possibles authorized to E.F.Johnson.
That whole ID number is on the second or third page.