I don't think I've ever seen a non-hot-swap disk in a normal server. The oldest I dealt with had 16 HDDs per server, and only 12 were accessible from the outside, bu the 4 internal ones were still hot-swap after taking the cover off.

Even some really old (2000s-era) junk I found in a cupboard at work was all hot-swap drives.

But more realistically in this case, you tell the data centre "remote hands" person that a new HDD will arrive next-day from Dell, and it's to go in server XYZ in rack V-U at drive position T. This may well be a free service, assuming normal failure rates.

Yes, I did write that a bit hasty. I changed above to the normal process. As it happened we just installed a server without hotswap disk, but to be fair that is the first one I have personally seen in the last 20 years.

Remote hands is a thing indeed. Servers also tend to be mostly pre-built now days by server retailers, even when buying more custom made ones like servermicro where you pick each component. There isn't that many parts to a generic server purchase. Its a chassi, motherboard, cpu, memory, and disks. PSU tend to be determined by the motherboard/chassi choice, same with disk backplanes/raid/ipmi/network/cables/ventilation/shrouds. The biggest work is in doing the correct purchase, not in the assembly. Once delivered you put on the rails, install any additional item not pre-built, put it in the rack and plug in the cables.