I have not make use of this exchange you mentioned above but I know quite well that some exchange does not do such investigations of where your coin is coming from but what I know that they can do is to ensure that you are a sincere someone by having your kyc done, because it is the kyc being your documentation that is necessary or important to every exchange because of scam once you are done with your kyc, I think that they have much to say or questions your deposit, because if their is any accusations against you, they have what they can tender to free themselves from the crime.
If they are no-KYC exchanges, they can not spend resources to analyze origins of users' coins.
If they are KYC exchanges, I am quite sure with you that they have automatic bots to analyze it, but it can be different procedures among exchanges. These KYC exchanges can have deep analysis to detect tainted coins from their users' deposits or they just have a simple procedure to deal with Compliance issues with governments and regulatory agencies.
No doubt that big exchanges especially Tier 1 Centralized Exchanges will have stricters procedures which are their self-defensive tools, because they're aware that they are most favorite targets of governments. Binance is an example, and they are favorite targets to shut down and many lawsuit cases as well as $B fees to pay to governments.
Bitcoin Q&A: Blacklists, Taint, and Wallet Fingerprinting