Is the loss in time spent on high priority items worth fewer quick distractions to the rest of the team?
It all depends on the tasks and your particular work environment. It's going to vary from place to place, so I don't have anything specific to tell you other than this kind of prioritization is the kind of conversation you should be comfortable having with your lead. Or at a status meeting or standup, if your process makes that the better place to ask.
However we are also an almost entirely engineering team so there is no resource for getting unblocked that isn't bugging another developer who then drops his mind balls.
It is just the reality of it though, we have tickets and tasks to complete and we can work toward being more efficient, making sure we aren't going to get blocked befor getting started on a ticket and such. It's all a balancing act and it's important to be aware of it, but I no longer get my knickers in a knot over it.
Since you're new there, you might not have the assignments and/or enough responsibility to know what else needs to be done. But that should happen soon, and there is no reason not to proactively talk to your boss about secondary goals to focus on when you're blocked waiting on communication.
I think it's just good management to convey the bigger picture to everyone. Between the steady stream of tickets assigned to me and other existing responsibility I haven't had to ask my boss "what do I work on now?" in... like... 3 or 4 years.