> Plus, it saves a lot of wasted negotiation time on both sides if your price is just way too high for the company and this is clear from the beginning.

This. I'm very upfront that if a company can't meet at least a particular dollar amount expected, it's not worth wasting both of our time. This saves a ton of time, and also serves as a nice red flag when a company agrees and then later tries to negotiate down at the last minute (if they're going to penny-pinch at the last minute, things like bonuses and vacation approval are basically never happening).