Hodling & ETH (crypto in general)

So if I have this right & excuse me if I say something silly.. You truly become a HODLER once you “buy” crypto on X platform and transfer it to your cold wallet to HODL TILL INFINITY.

Or have I perhaps understood this wrong?

I mean of course you can still HODL while on an exchange but the probability of that platform getting “hacked” and you losing your assets is way higher than one using any exchange to buy crypto and then storing it to your wallet (?)