Yes, exactly, but there is a huge chance that your coins have been used in illegal activities in the past. The same high chance also exists with FIAT currency. All I am saying is that you can't possibly know everything about your coins. A currency must be simple, if it's not, then it's worthless.
Fiat? That's the dirtiest currency of all time!
I think you wanted to say "of course we want", because I understand that you want, like we do, Bitcoin to be truly decentralised.
Lol, sorry for this man.

I like both XMR and BTC, I occasionally use XMR and mostly use BTC. When doing P2P transactions, everything is fine. When doing exchanges etc, unfortunately AML / KYC checks ruin a lot of my experience.
So, if someone wants to erase their tracks, the best solution is to start being a more active user of XMR. Dealing with it will be private and, in time, will erase any footprints.
Then you return them in BTC, and that's it.

Note that,
Most of the centralized exchanges (CEX) such as Binance, Kraken, KuCoin and others, quarterly provide information on ALL transactions within the exchange in the form of CSV lists, including all XMR information, including wallet addresses. They send these lists to everyone who deals with tracking and investigations in crypto, such as Chainalysis. This is obvious, but it needs to be stated: if you send or receive Monero using an (CEX) wallet, there can be no talk of anonymity at all. The exchange remembers the wallet address, amount, date and time, IP address and everything that can be remembered.
I would advice choose platforms that respect privacy and have minimal KYC/AML requirements...