I don't think this is a good idea. While it is unlikely that a company will investigate him out of nowhere, the chance of his data being sold or accessed by malicious parties still exists.
I don't know about other instant exchanges, but the one op proposed to use: exch.cx does not collect any personal data from their customers, so nothing can be sold, all you need to swap your coins is to send it to the unique address provided by eXch and provide a destination address to receive the coins you've swapped to.
In this case, any Instant exchange can be suitable for him. Blockchain analysis companies won't investigate unless they are hired by someone to trace anyone and in this case, OP have no concerns about it.
Not to mention the risk of using instant exchange for his fund is quite high (KYC, terrible rate, etc).
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No kyc on exch.cx, and they have a flat rate of 1% and dynamic rate of 0.5%.
If I learn anything from Chipmixer or how mixing companies store their customer's data while they claim the opposite, it is unwise to assume nothing can go wrong at all.
We don't know what was in the 7TB of data that was seized.