A lot depends on where the stairs are in the house and your usual footwear in that area of the house.
Being Canadian (and as close to a red-neck as Canadians get). I wear socks..... Brits, OTOH, wear slippers - usually some variation on rubber compounds for soles...... watching TV, I see Yanks wear their grubby old street shoes in the house.
Upsides... I change my socks every day and wind up polishing the things I walk on. The Brits don't do much good for their floors, but at least their socks last longer. Yanks.... well, if you're lucky, that dog turd will at least fall off under the coffee table....
It's mostly a joke, fercrisesakes.... but I still stand by the footwear part. Usage defines finish...