"look" cold, or "feel" cold?
i'm not a fan of "throw rugs" except i guess in front of the doors through which you enter the house, so you can wipe and then remove your shoes.
we have hardwood floors throughout much of the house. i love them.
however we also have hardwood floor in the kitchen, and found that it was becoming scratched (not outright scratched, more like dented) from the movement of the kitchen chairs in and out from under the table. we got a large braided rug for under the kitchen table. it's ok. a PITA to vaccum, but to it's credit, it hides stains real well.
then my husband, who has trouble with his feet, wanted to get matching braided rugs (small sized) for in front of the stove, the sink and the refrigerator.
i like these even less. they are always getting knocked out of place, and you have to keep kicking them back to their spots. similarly a PITA to vaccum (so i don't) and now i have to sweep the kitchen floor all around all of these throw rugs. they also hide the stains, though, so for example you drop some blueberry juice, just walk away and ignore it, don't even try to clean it.
the living room is completely empty of any throw rugs, and it's very nice, very "neat" looking. i would not say "cold." upstairs bedroom also just wood floor. we put a small colorful rug in DD's room, mostly for our own benefit, since you wind up sitting on the floor to play kid's games with her, and it's much more comfortable sitting on a rug than on the bare floor. that's like a large throw rug. easy to vacuum.
ps: we have a golden retriever, who drops hair everywhere. easier to sweep and vacuum it up on the bare floors, versus vacuuming it out of carpets. same goes for our staircase. also recently stripped of carpeting. way, way, way easier to sweep with a broom versus lugging a heavy vacuum all connected with a cord up and down the staircase. easier and *safer*.