After flip-flopping on this like a very lively fish, I have to agree with the logic and concern about poorly written rules expressed by 73Blazer.
95.349 covers all of the personal radio services. It prohibits connecting to the telephone network but allows exceptions in the rules for each service.. It doesn’t mention other types of networks.
95.1749 is the exception baked into the GMRS rules, but as 73Blazer says the exception listed there is poorly written. The phrase basically allows us to connect to the telephone network or any other network only for the purpose of remote operation.
But connecting to any other network was never prohibited in 95.349 or the first clause of 1749, so I think the FCC’s interpretation under the Operations Tab on that other page is wrong. That might be what they want it to say, but wishes don’t make rules.