I've never had any problem with tile but would not use on wood. I moved into a house once where the finish on the wood floor in front of the sink had been damaged by a rug. I currently have some rubber backed rugs on the vinyl flooring in my laundry/back entry but it's not a color that you'd ever notice discoloring plus it will always have some kind of rug there. I always get the thicker area rug type rugs that have the woven back for places that I don't want rubber backing. I don't care for the thinner rugs with no backing because they don't stay flat and are a tripping hazard. I get a color that doesn't show every little thing and get them professionally cleaned once in a while.

Here are some pics of the Lato Base that has been installed for about 1 month we ordered it in the summer and it arrived in December due to the pandemic supply chain boat traffic jam. it seems nice. it is lower shine and much more non slip than our previous laminate and warmer on cold mornings. +/- you cant run and sock slide on it. we replaced laminate that was light but more colorful in orange and pink hues (bottom pic is our old floor-notice how you can see the edge of each lamite plank. For a plastic floor, this Lato is more “realistic” than the old floor which had multiple boards per plank. Lato is light and looks best in the rooms with deeper contrasting colors imho. Maybe we will go darker on the walls the next time we paint Our house is 100+ years old. The Lato feels like a timeless color and I against our dark modernish Ikea cabinets. we did 900 sqft continuous over multiple rooms on the main floor we’ll see how it holds up long term. my kid roller skates on it and plays hockey on it with no marks or scratches that havent cleaned up. we clean it with liquid products and have the pet water dish on it without worries. The micro bevel is about as deep as the faux wood grains. We were not a fan of the deep grooves and trendy big planks but maybe this flat bevel will present a problem if any buckling or swelling occurs in the future. We’ll see. Under can lights and other fixtures it looks nice and doesnt mirror the light source. There are certain times of day that the light shows the artificial grains more. Overall, it looks good, but i doubt folks would be fooled that it is real wood while standing on it. But, it seems to have gotten firmer with fewer soft / hollow spots as it has sat and settled . . . or im used to them now. Subfloor was 23/32 tonge and groove particle board over exising imperfections from settling. Its not perfect but better than it was before particle board was laid. the negative- The wear layer is brittle. we did find a crack in it from an unknown source. Not sure if something was dropped or maybe a kid was testing dads hammer while he was not around after install. also in one of thr doorways, there is a gap in the subfloor it was soft and a plank cracked in half when someone stepped on in that spot. the previous laminate had spanned that soft spot without cracking. we did not use an approved installer. lesson learned we are going to see if we can replace just one or two tiles by cutting the tongue and gluing in a replacement as seen on line. hopefully others will not see the negatives that we have experienced. this is our first luxury vinyl and maybe the problems would have surfaced with other products too.

There's a product called Fritztile that meets your description but it's probably out of your budget. A budget version would be one of the lesser known versions of VCT offered by Armstrong, Mannington or Azrock. How about one of these: http://www.azrock.com/Products/tabid/242/Default.aspx?cid=72 Or these: http://www.azrock.com/Products/tabid/242/Default.aspx?cid=72

i have noce travertine now - it’s not pink at all . i was looking at either the beige or the silverado - neither with pink tones. my designer likes the diana marble (honed), but i know travertine care bc we have it and am a bit fearful of marble. we wanted wood and actually picked out hardwood, but our weird fish tank and wood is not compatible. i can’t do porcelain tile - it’s just too hard on my legs! yes bf anyone says anything- you can tell the difference when standing barefoot or walking around.