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At this point i think everybody should just use the AGPL instead of the GPL.
There was an instance where Google used a GPL software (GNU units?) in their backend and didn’t release the modifications because they were technically not distributing it. So yes. It supports your suggestion of using AGPL where its purpose is not immediately apparent. It’s a good thing that people are starting to accept copyleft licenses after the anti-copyleft tirade promoted by the industry.
Seconded, AGPL may be better especially in cases where software is network related.