Your home will have less foreign (to you) bugs than a hospital has.
Quick births usually means that everything is going fine. I'd much rather just stay home, and have the hcp come to you! Knowing that your births are usually quick means you can prepare for this.

I had a list of thing gathered for the birth, but used few of them. towels, drop sheet (i used one), bucket for placenta. I had a birth pool, only just made it before baby arrived. It could be good to slow you down, but you would want to have it ready to go as soon as labour started.

i had sytocinon in the fridge (supplied by midwife) as a just in case. I believe my midwife had O2 but i didn't actually see it.