I don't have this experience at all. Our colo handled almost all work. the only time i ever went to the server farm was to build out whole new racks. Even replacing servers the colo handled for us at good cost.
Our reliability came from software not hardware, though of course we had hundreds of spares sitting by, the defense in depth (multiple datacenters, each datacenter having 2 'brains' which could hotswap, each client multiply backed up on 3-4 machines)...
servers going down were fairly common place, servers dying were commonplace. i think once we had a whole rack outage when the switch died, and we flipped it to the backup.
Yes these things can be done and a lot cheaper than paying AWS.