You don't want anything fabric near a toilet. Fuck those stupid fluffy cover things people like my mother put on the turlet lids, you can't even put the seat up without holding it while you piss.
Those cut out rugs for around the turlet are awful as well.
I guess a heated seat must work on a battery ? I can't really see an electrical cord on a seat.
Put a heater/fan directly above the toilet - had one in the last place I lived. Turn it on when you walk in and it shoots warm air down on you. It's not as ideal as a heated seat, but it's a heck of a lot Less expensive.
One thing I like about the cold weather though, he always takes into account the clapping fans, fat/slow players, and most importantly the poon-factor.