Any apple repair they are going to make you wait. They don't do much of anything in the store anymore these days, they just scan with their software and send away. No clue why they don't image a loaner laptop for you in the meantime. They much such a big hubbo about pros using their hardware then they don't offer services that pros require for their hardware, like no downtime since they can't just tell the client that their rig is out of commission for four days.
This would be great - they could image your machine & imprint onto the replacement with activation/etc even having you authenticate AppleID as needed. Is disk-imaging like CarbonCopyCloner possible on newer machines?
Apple definitely has the software to do this. When you buy a new laptop from them they can do this for you to migrate your old mac. No reason why they couldn't do it for a loaner.