I am using fishline for hytrel rings whenever I have an issue with a rep one. I bought about 12 spools of fishline when I first started doing this, having no idea what diameter would be best. Now I use only 0.56mm, 0.61mm and less frequently 0.64mm. Even then sometimes the fit isn't perfect so I fold over a piece of 400 grit sandpaper, hold the line in a pin vise and pull the paper down the straightened line to thin it a little. Then put a thin coat of silicone grease on the line. It works well, no vertical or lateral play once you find the right diameter. Use
Monofilament, NOT Braided
It has also been reported that 0.70 mm nylon jewelry making thread works well as a substitute for the hytrel ring.
Once you have the correct size diameter, the line can be wrapped around your finger or a Sharpie for example to give it a curved shape. It should stay in place during the install if you haven't sanded the ends narrower than the body.
Start small and work up to a thicker size if it's too loose. If you force a bezel down with too big a line it won't rotate and it can be very difficult to get it back off. There's always a way but it can get complicated. Think nylon melting point and ovens, haha.
Fishline is incredibly tough. I daresay a properly sized (in diameter) piece of fishline will never exhibit play unless the bezel groove or retaining ring lip it rests under has defects like burrs or sharp edges.
But, if you put a piece in place that is too big, the bezel can be pressed on with extra effort and then it may not rotate. It can happen that afterwards the bezel will not come off the case. This is because the fishline is so dense there is hardly any give to it. The only solution then is to remove the movement and any other O rings and gaskets you can, then heat the watch head in an oven to 500° for 20-30 minutes.
This does not leave a mess - the fishline will melt, turn black and shrink or crumble allowing for easy removal and cleanup. It will also melt a crystal gasket if present and it can stink a bit so best done with open windows and other family members gone. Note that there are precautions about nylon fumes being toxic, so proceed at your own risk. This is a tiny bit of melting taking place whose danger can be deemed negligible IMO. I have had to do this twice, due to using too big a piece of fishline. You will know beforehand if this is going to happen - if the bezel is crazy hard to press down, the line is too big in diameter!
The point of this discussion is to attest to the near indestructible nature of fishline. With normal use in a bezel it should never be compromised.