Their solution? Add a GPO to all our windows machines to force a '127.0.0.1 drive.google.com' entry into all the HOSTS files on our network.
Most corporate technology problems where a solution exists but isn't used aren't technology problems at all, they're office politics problems (for the sake of argument I also consider business requirements / SOPs to be under the office politics umbrella, if you've ever tried to change them you know this is true).
It's rare that more technology actually fixes the problem. Usually getting more/new technology is a catalyst to changing the underlying social problems, or is just a workaround.
For example, my alma mater wants to implement a new thing to make service better on campus (sorry about the vague-ness, its about privacy of the people involved, and I'm not even supposed to know this). If the project goes through as originally planned, they'll save money and greatly improve services. But, it will never be approved without letting the CIO win a turf war in the process, so the project will end up spending an extra >$500k on unnecessary tech to do it her way. Did I mention this is a public school that really can't afford to be paying that much just to feed egos?
The boys in the basement aren't a bunch of Luddites, before the upstairs staff has even heard of the new tech out there, they're already dependent on it in their personal life (or have demoed and tossed it to the curb).
Spoilers: They actually can stop it, they're the ones managing firewall config after all. You should ask yourself "Why haven't they?" Probably has something to do with the fact the buisness requirements and/or budget preventing them from using the tools everybody would prefer.