Chain analysis companies have been able to track users of ChipMixer
Do you have any evidence to support this statement? Or did you mean people's post-mixing behavior is enough to deanonymize them, as opposed to any flaws in ChipMixer's processes? As far as I am aware, ChipMixer is one of the only mixers in which it hasn't been possible to link deposits and withdrawals.
Who are the users of ChipMixer? Do you know anything we're unaware of?

The procedure is completely different. As I said, you don't have any connection with your previous transactions and it's meaningless for someone to start searching for addresses that may be related. Try mixing 100 BTC with CoinJoin; it's a matter of time that you'll be revealed. With the mixer, you'll receive better privacy. Still, not 100%, obviously, but better than with CoinJoin.
Different blockchain analysis services were able to determine that ChipMixer was used by
Binance hackers,
KuCoin hackers,
Twitter scammers, and
ransomware attackers.
This doesn't necessarily mean that ChipMixer is flawed because they probably used other methods to deanonymize the users that were caught. With the amounts of BTC involved in these attacks it would require a lot of patience and cautiousness to effectively be able to hide your tracks.