As an engineer that worked on IE, I can totally sympathize. Your story is one repeated throughout almost every enterprise of sufficient size.
That said, there's a middle-ground we should strike here. At some point, being out of date (sometimes as much as half a decade or more!) on your browser trumps the cost of keeping internal software up to date. This is not to mention the network costs of third-parties attempting to support your users browsing the public web and on browser vendors that take investment away from their latest versions to continue to support legacy software.Allowing indefinite suspension of upgrades by IT is definitively a mistake. It adds insult to injury that Google is repeating a mistake which we all learned so much about via IE and older versions of Firefox. We will all collectively pay for this if they don't course correct.
The middle ground here is providing extended support channels like what's being done for Firefox and Edge. Chrome already has Canary, Dev/Beta, and Stable channels. A slower moving, more stable channel for businesses would be a natural solution here.
This gives businesses time to test and adapt, limits the total number of versions in the wild that must be supported by browser vendors and web developers, and provides just enough paternalistic motivation to keep your internal software in a good state (upgrading to support latest browsers is a forcing function for testing, performance tuning, security tightening, etc.).