What I see for this ratio is that the new LTC-Cash token will be valued 10 times cheaper as the LTC one.
They are explicitly saying people that, although the new hard-fork wants to be better -a faster block speed-, their tokens will be cheaper. They get 10 tokens for every LTC. And those new tokens are for a blockchain that is supposed to be faster -and so better- than the original one.
Looks like a scam to me.
Anyway, I don't own any LTC, so that is not affecting me.
Or it could be that they want it genuinely to be worth less so it is more useful as a currency, instead of just being a value holder like BTC. Time will tell...
In any hardfork, the resulting coin is always cheaper than the original, independently if it´s an scam or not
Yes. But that is once they are tradeable in exchanges. And that's free market who price it, not the forkers.