When you needed a server - that will take 3 weeks to set up. Really? It's going to take you 3 weeks to provision a new VMWare instance (cause 90% of the servers provided were VMWare instances). Really? OK. Hrm... There's a typo in the hostname - can we get that fixed? "No, that will require too much work updating our network to accommodate that."
Hrm... OK... Can we get an account for the outside contractor (me) to get on the VPN? "That may be 2 weeks - the person that does that is leaving for vacation on Thursday." Umm... It's Monday now. "There's a lot of stuff to get done before they leave."
I get that there's some benefits to having this centralized - security updates, monitoring, etc - but the impact of waiting weeks for things that should take a few minutes with any company in the real outside world is real (although hard to measure). When the entirety of the org is constrained this way, there's no comparisons to be made to make your case that it shouldn't take this long; many projects should be measured in weeks, not fiscal years.
FWIW, the times I've run in to this in the past... 15 years or so, it's usually academia. My understanding is that this is its own particular brand of IT hell.