That is incorrect. The TLDR from the Chain Analysis Leak is: If you're broadcasting a transaction and not connecting to your own node, connect through VPN or tour. Even if you don't, chain analysis is learning less about your transactions than if you're using Bitcoin.
I see. So the danger is connecting to a compromised (Chainalysis) node without obscuring your IP in some manner? Running your own Monero node theoretically solves (or at least largely improves) this then?
Exactly. Their main tool prior to the implementation of Dandelion was apparently mapping transaction broadcasts to IP (since there's no deterministic way to trace txs otherwise). But Dandelion threw a wrench in that. But if someone connects straight to their node to broadcast obv Dandelion has no effect. So they started running their own nodes hoping to get lucky. Which apparently happens because that's what they used in the leaked video. Of course, if it's your node or you connect through a proxy its not a problem. Here that vid if interested. https://v.nostr.build/D4Nzp22vRF35IRnz.mp4