I don't use rolling chairs. I have a regular 9x12' rug in the area where I sew and stand. That helps alot. No damage to hardwood.
I have the mat you want to use on the kitchen floor. Believe me water will and does get under it and makes it very slippery on the sheet vinyl flooring. My better half spilled water, I almost slid several feet.It is in front of kitchen sink. He didn't know he had spilled it. No attention to detail, is what I call it.