Yes, at least on my experience. I blast some of my notes through mutiny blastr. 5 minutes later, i have checked and found that they were broadcasted to 100+ relays based on https://nadar.tigerville.no reports

There is also possibility Amethyst has some problems when you first post it. Maybe you can try close Amethyst after you posted it and open again and press "Broadcast" on the same post later