Chain analysis companies have been able to track users of ChipMixer as well as Wasabi.
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.
Depends. If you don't use Tor then you won't leave any additional blockchain evidence, since your IP is not recorded on the blockchain, but you will reveal your IP to any servers you connect to (such as in the case of SPV or custodial wallets), any nodes you connect to, any explorers you use, and the mixing site themselves, all of which could be used to deanonymize you.
Not to mention the government. They keep track of every IP's activity. If you want complete anonymity, then Bitcoin isn't your thing.