I open discussions with recruiters - typically Exec Recruiters who are normally cold/warm-calling on LinkedIn - and the conversation goes like this:
* "We have this amazing CTO / CIO / VP Role."
* "What's the pay range for this role?"
* "We pay market rates"
* "I'm currently making $X at my fancy FAANG role. Can you beat that?".
* "Oh. Nevermind".
It's helped, but there are still false promises made.