why does a one-time cleaner cost $15?
This is ridiculously expensive
I bought the apple polishing cloth because I believe that I can protect the fingerprint-resistant oleophobic coating and also I can use it for 10 years.
I'm not a fan of this
You undid your whole argument over the pricing of this when you then pointed out you were happy to buy the Apple Polishing Cloth - it's not some magical material that only Apple can produce, nor is it made from any expensive material that warrants such a high price tag. It's no different to anything you could have bought for a fraction of the price elsewhere. The difference here is one is made by Belkin, one is made by Apple. If this had had an Apple logo on it you'd have not turned your nose up at it either.
Both are awful concepts made to cash in on those who either have too much money to spare or can't manage their money properly - or fall for marketing ploys/brand allegiance and don't know any better.
Rubbing alcohol and q-tip, along with a needle if you have any particularly difficult to remove larger build ups within the mesh will do the job just fine for a fraction of the price.
As for cleaning your screens, any soft microfibre cloth would clean your screens just fine too - as with washing a car, it's not so much the tools you use but how you use them that will protect the surface you are cleaning, i.e. don't use the cloth for any other purposes, ensure you wash your cloth regularly, let it air dry by itself in a dust free area, don't throw it in the tumble drier with other items, remove any dirt, dust and debris by blowing on your screen (or compressed air) prior to wiping with a cloth, and only use cleaning fluids that are recommended for your screen type. Do that and your screens will remain pristine without having to pay Apple tax for a cloth.