With all 3 of mine I was out within hours and had no time for visitors.
In that time I had to do a first wee, blood tests and an injections, had checks, all the numbing stuff was wearing off, I'd leaked and needed to change, I was learning to breast feed and the feeding for hours to get my milk in, having a wash, eat and that was just me! Baby needs checks, blood tests, getting dressed, their first poo and not forgetting the bloody bounty woman, then packing everything up and waiting to get signed.
Let them get home, it's not just about the baby, there's a new mom recovering too and being the most vulnerable she's ever been.