I've had almost the exact situation at my work. I eventually even put nohello.net in my status message and forced it to show up whenever someone messages me (which felt rude! but important). Wrote up a pros/cons document of async standup which referenced many of the benefits of properly practiced async communication, with the implication that we could adopt those principles in our regular communications.

I still get a "Hi" at least once a week. I've completely stopped responding to those. The cycle of grueling standups growing longer week by week until some form of reorganization cuts them back down continues.

If leadership says they're remote-first but doesn't understand the practice of async communication, I don't believe a job at that org can be good.