You are correct kyc isn't only limited to big amounts but I have and discovered that most cases where kyc is required is usually during a transaction that has to do with larger amounts. So I feel like kyc even if in some cases it can be required with small amounts but then its more required dealing with larger amounts.
That’s true but mitchr is also correct as it’s not always about how huge the deposited or withdrawn amount is.
Any suspicious activity will trigger kyc even if you try to deposit or withdraw a tiny amount.
For example, if you deposit a few bucks and the casino's security or anti-cheating system detects that the address you deposited from has a high AML risk score then you will most likely be asked to verify your identity and may even be asked about the source of your funds. So, you need to be ready for that.