From the time that I came across crypto, storing assets on exchange sites has always been discouraged by everybody even if its within months of joining (mainly because of hacking) and this was extended to web wallets too (because of hacking, change of policies, outright scam etc.)

This however was reduced in 2017 because there was some compensation for keeping on exchange which was the era of forks where you get to have access to it and exchange sites credit you even before there are offline wallets to keep those coins and this will avail the opportunity to cash out when the price was high. But today, all of those vibes are gone and I doubt if anyone still keep tab of it again.

The point is we are back to the earlier part, don't keep your fund where you cannot control especially exchange sites.