I have played a lot of games with this type of system. PbtA and Blades most commonly. And it was a problem with all but the very best GMs. Players who are the most vocal just do more. Quiet players do less. I don't think there is anything the more vocal players were doing wrong, but if you're an outgoing player, you tend to take the spotlight wrong.
You get the same issue in strictly roleplaying situations where there isn't any initiative order. I've found that when I'm playing, sometimes I could be the problem player until I specifically put in effort to get the less vocal players to get involved. And that's hard sometimes!
The initiative systems that most games have fix this issue and get everyone to be able to act and be a part of a combat. I'm not saying I wouldn't want to play a game like Daggerheart (far from it) but I have found that it taxes the GM. This is obviously just my experience but I've seen it in games that I've played at Cons with groups of people I've never met before and with my friends.