Don't think that way - your bitcoin is still your bitcoin.
But if you store it on the exchange then it's easier to sell it than you store it in a hardware wallet that is stored and hidden then at least it won't sell bitcoin.

But back to ourselves and depending on how good management is, as long as you are not tempted by consumptive goods then it will not affect. So for several years storing bitcoin in the hardware wallet did not sell it.

So if bitcoin is not yours - meaning your coin is on the exchange, it's the same as not your coin.