Maybe in large US universities?

I work in research in a public university in Canada. IT is basically tech support, fix-my-email. There's no chance they would support hosting our data or any other sort of service.

The university expects that researchers self-fund their own stuff using grants. Need laptops for your grad students? Grant money. Need a server, bunch of disks and a sysadmin to care for it? Grant money. Which is only realistic if you're a huge lab with millions a year in grant money. And even then, what happens whn this grant runs out? Your new grant does not pay for hosting some 10 year old data, all money is earmarked for your new project (literally, it would be illegal to spend the money on another project). So the old hosting quietly goes away.