Exchange already have their own check's mechanism and the only time you could run into a problem with exchange is when the volume of the money is higher than your kyc level, this could trigger the exchange to Carrie out suspension on your account until you upgrade your kyc verification, and also exchange suspect fund's that are from illegal sources so for that, try as much as possible to always avoid sending money from gambling and other coins mixing services that debts the status  of the Bitcoin deposits.

Aside from all of that, if all your transactions are from clean source, I don't think you have anything to worry about on exchange deposit regardless of the level of the exchange or wallet you are sending the Bitcoin from, exchange not exceeding your maximum deposit limit puts you and your funds on a more positive note on an exchange.

So Note that large deposits always trigger's suspicion so to that makes sure to deposit all your Bitcoin in a much secured and below limit balance if you want to stay within the limit of you account on the exchange.