It causes me physical pain when scientists change their practice to appease pearl clutching amateurs
Clearly modern scholars disagree with you, and it's not a matter of pearl clutching.
It just doesn't make sense to, for example, define an ancient Roman library as "pagan" (or even "pre-Christian") as if that is its defining characteristic. Unless you happen to be a medieval Christian monk of course, and then it makes complete sense.
The content of Roman libraries is likely to depend on their pre-Christian vs. Christian characters.
Christianity wasnt the official state religion of Rome until 380 CE at which point it only had legal status for 67 years. Christianity wasn't done covering europe until iceland in 1000 CE.
What might count as prechristian wasn't at all clear and depended on where you were and how official you want things to be, it also was absolutely not like flipping a switch or even gradual, it was rocky and complicated.
If anything, that seems to prove people's point that the term is of questionable value, except perhaps when discussing early Christians or I suppose if one is writing about Christianity.
"Foreign religions" weren't really much of a thing either, there were lots of gods and each village and city (and family really) would have their own versions of gods. Sometimes when you'd conquer a city you'd go to the most prominent temple and steal the statue or alter or whatever and bring it back to Rome with the vibe that you were stealing the god of the place you conquered.
That's not what the latin origin of pagan ever meant, it meant peasant or rural usually in the negative connotation common for city folks referring to people who lived outside of cities\. Were there ever any recorded instances of Romans referring to themselves as "pagan" as a group? Maybe one.
>"Rome"
Weird usage of scare quotes, especially in the time frame you are referring to, the name of the empire or the city was never ambiguous.