Is $1,300 to replace entire room's vinyl flooring a fair price?

I'm an appliance repair tech. While working on a stacked washer and dryer, the vinyl flooring stuck to the foot of the washer when it was lifted and pivoted, causing it to tear up and wrinkle slightly. I tried to repair it myself by cleaning up some of the torn backing, applying new glue, heating the tear with a heat gun, and using a roller to smooth it down, then placed weight on it for 48 hours. Personally, I think the repair is fine; it's flat and barely noticeable, and it's under the machine. The customer said 'no we're not happy it's so obviously damaged we see it all the time' even though it's under the edge of the machine. I was expecting the flooring guy to cut out and patch the damaged 'square'. Their basement stairs and rest of the floor are covered in dents and gashes much worse than this. They chose real cheap stuff in the first place. To boot, ANOTHER appliance company supposedly did the same thing (vinyl stuck to feet and tore when machines were moved). I feel like they're trying to get a new floor out of me. The small white line in the middle of the tile is the 'glue line' where the tear occurred. The blob you see is just the design of the tile.