This house was fully carpeted when we bought. Before I sewed, we replaced all of the carpet with hardwood.
In my sewing room / workshop as well as most rooms, I have a rug down, for warmth, this is a cold place in the winter, and a space heater. In the dining room, where my frame is and I have one or 2 machines set up, there's a woodstove close by. There's still a rug under where my chair goes for the frame or the sewing machine. This protects the floor. Anything the wheels of your chair picks up is now acting like sand paper on your floor. I also now do all starching over the rug, why? The wood floor gets incredibly slippery from the starch over-spray. I almost fell the other day, and would have hit the side of the wood stove on my way down.
So my recommendation is for a hard floor, but a rug on top, in some spaces.