Your Coins are not safe anytime they are outside your ownership
Surprised people haven't learned this yet after 5 years of scams
your coins are NEVER safe, even in your care.
Just you deposit your coins at an exchange doesn't make your coins now owned by the exchanges.
Just like taking your kids to school doesn't make your kid's teachers their new parents.
If everyone kept their money off the exchanges you would only have auction sites, when's the last time you saw one of those for crypto. When you go to an exchange you expect to see items available to buy if nothing is there what good is it? Do you randomly return multiple times a day hoping to find someone who wants to sell what you want?
Nevertheless, without the exchange your coins are almost worthless, when's the last time you took a look at the chart of a coin just before it was delisted and after it was actually delisted? It goes from bad to worse and in every case there was a warning. When it gets to the point of that very last exchange to delist it gets even more ugly, it's like a ghost town at the community ANN thread.
So you could have all of the coins in the world if no one else wants them they only have worth to you.
Now, for the practical side, let me know when you transfer all of your funds to multi-sig paper wallets that you provide to various people in various locations both physical and electronic, then I will know you know how to keep your money safe?