For a long time it troubled me that someone could simply "get lucky" and generate an address with the same private key as mine. I knew the odds... but stil...
If you say "but still" it means that you don't know the odds.
Well, we all know that it is almost impossible. The troubling part here is the "almost".
But I do agree with anti-scam... dividing your funds in multiple wallets is a safe bet.