I worked for a catering company for years and we always boiled the spuds in their skins then slipped them off once they were cooled down.
Me, I do not like mashed spuds, so I always cook them ways that leave the skins on.
I do peel carrots, unless they are fresh from the garden.
My mil eats canned spuds. I cannot imagine buying them that way but she seems to like them. She also used instant spuds made with milk.