Even this method has long been out of favor for Mixer transfers. This happened to me personally when I was a Binance user before finally leaving it. I withdrew Bitcoin directly from Mixer to one of my own addresses before depositing it to my Binance account. My deposit was frozen, and I had to wait two days before I could use it.
I guess you already know that centralized Exchanges work with blockchain analytics companies that help them assess the risk of incoming transactions and flag addresses based on the risk level. Thse companies, like Chinalysis, are good at what they do and sending your coins to an intermidiary address or even more won’t help you hide your tracks.
However, sending to an intermediary address is still better than nothing as it helps with plausible deniability, as I said above. When they ask, you can say the funds came from a friend or for exchange of a service. This might not always work, but it’s certainly better than being directly linked to a mixer.
I understand this and often avoid having my transfers connected to any mixer or suspicious addresses, especially deposit transfers to service platforms like trading, casinos, etc. This was the main motivation that led me to leave Binance forever after I realized it would be disrupted every time. The problem now is that centralized exchanges cannot filter all deposit transfers and freeze funds, given that they may not be responsible for the addresses from which the deposits were sent. However, the platforms allow their customers to use their accounts as private wallets for for all daily use (small transfers), so people started receiving small payments from here and there and they can't control the fund origin always especially for small transactions. Any platform should be aware about this.