You can try some warmed vinegar to remove the residue on the liner.

I keep a spray bottle of half water, half vinegar in the shower to spray after showering. It cuts down on mold and soap residue very well.

Generally speaking, just pinching the liner with your fingers and giving a good shake to get the water off helps it to stay free of all the bad things for much longer.

I don't like doing that, so I replace cheap liners. I know it's not green, so maybe I should try H202 in a spray bottle myself, like the one person suggested, rather than harsher chemicals.

Spray it down along with the rest of the tile with a diluted H202, and use a spray head to rinse, but this sounds not so green either, because of the extra water use.

Maybe as you rinse your body of the soap, use one hand for yourself while spraying the H202 solution on all surfaces, in a spinning motion, and at the end give all surfaces a final rinse with the shower spray head, still spinning, and then shut it down.

I'm half joking here, but your problem really did make me think about soap scum, and the best way to get rid of it. You can rinse tile, and wipe it down with the same towel you used to dry yourself after each shower, but if you want to keep a nice liner, I can only think of removing it on a regular basis, putting it on a flat surface and using a brush, water, and elbow grease to get it off, and then rinse.

Good luck.

hydrogen peroxide just turns into water after it does it's business, right? Why rinse?

Good luck !