@qualin
In the bathrooms, I have only the all-fabric woven kind. No rubber backings. The only issues affecting FL spin are balance issues, as they (the Costco "spa" mats) are bulky and heavy.
Some lines of towel manufacturers make all-fabric bathmats to match their towels; these are of lighter construction (though thicker than the matching towels) and don't cause balance issues. I have a few of these, and I place them right outside the tub. However, as an area rug near the sink (the tile floor is not heated and gets COLD in winter), I use the spa mats from Costco described above. They are larger than a standard bathmat that matches your towels.
The rubber-back mats I described earlier are small area rugs for high traffic areas. You seem them in US hardware stores, as well as middle-market retailers like Target and Kohls. I use them at most places where there is a door to the outside, as an "indoor doormat" to supplement the outside one, especially if there is rain. I have a "mud room" area, but guests who enter via the front door can't access the mud room without walking through the house, nor can someone entering from the patio door (which opens on to a carpeted area...). There are often printed in cheery patterns or look like fake berber carpet (usually they are olefin or other synthetic). Costco sells these as "kitchen rugs", I guess a way to brighten or decorate the kitchen. Since I have cold tile in the kitchen, I appreciate the rug's warmth outside of summer.
I once bought one for the entry to the kitchen, because my late Rhodesian Ridgeback, Korky, began to have separation anxiety after he became ill with cancer. Whereas before he didn't need to keep me in his line of sight while I was in the kitchen, now he wanted to be at my feet all the time (and he wasn't seeking food, for 10+ years he was not allowed in the kitchen and knew it was off limits). The rug is about 18 x 40 inches (like a short runner) and was sold with a 30" half round matching rug (to use next to a door) from Target. The runner was just large enough to let him lie down comfortably while staying out of my way in the kitchen. I used to recycle my frayed/old kitchen rugs at his favorite spot to lie down in the garage...when I was working in the garage, he liked to have the garage door open so he could check out passing pedestrians and survey the scene outside (he did this even before he became sick). These two rugs are still in good shape and are washed about once a year. Once the backing becomes flaked, however, out they go and I buy some new ones.
The rationale behind these high-traffic rugs is that they are washable, so you don't have to toss them out if they get soiled beyond what the vacuum cleaner can fix. In general, the washability claim is true, they come out nice, clean, and bright from the washer---but my experience is that in 3-5 years, the backing starts to yellow and peel, at which point it's no longer safe to wash. My strategy is to look for bargains (say, Costco) and to regard these rugs as short-term investments, five years max.
They make rubber-backed rugs for bathroom use, but I've never bought them. For the bath I use all-fabric mats or rugs, and keep them clean with periodic laundering. The advertising on the Costco "spa" mats showed them used as a small area rug in front of a sink/vanity, NOT use right outside a tub/shower. I use them similarly, as a comfy area rug in the bathroom.