I don't know why they are still talking about reputation for this casino but we all know that the management of this casino/sites carefully doing something so that their reputation will not be ruined in the present days.
Back to the problems/issues of Op that he/she mistakenly send his/her LTC to BTC wallets and asking for justice which is this issues made by his careless thinking. But I don't know if there's a chance that Op will have his/her money back cause this is not about the casino's mistake but Op's mistake.
I used to make the same mistake and I had to forget about my lost crypto. This is how it works, unfortunately. You are to be careful when dealing with coins. Otherwise, you will be punished for your own mistakes. No one to blame in this case.