I'm the weird sort of person who would have felt fine going home in the bus, with baby in a sling after a planned section, because I don't drive, and I'm really used to using public tranport even if I feel rubbish. Though actually I felt pretty much fine, though I wouldn't have wanted to stand if the bus was crowded. But I'd not have been able to carry my bag and baby's bag as well, do it would have been a last resort. As it was, my husband drives, and drive us home, but I was happily popping on and off buses a week or so later.
I'd have done it over a taxi, as I'm on a direct bus route to the hospital, but obviously not as easy as a car.
I think you are being defnesive as most people were clear from the outset that it's not a rule, but you kept on pushing about it.
You go home from the hospital however you want. Just because it's unusual doesn't mean it's wrong. Just if it's going to be walking/public transport, have a back up in case you feel terrible, and not upto it.