Great report and thanks very for the feedback! This is actually very similar to my own experience.
It is worth considering why it is that the monster stat block in the app isn't actually helpful versus even looking it up in the book (I do exactly the same thing). Is the data not easy to find? Is it inconvenient to get to? What is the actual question in your mind when you go looking? Probably "what will this guy do next round?", so how can that be made easier to answer? Perhaps even an easy access place to make quick notes and prepare several monsters' next actions while players are taking their turns?
I also find that the Bestiary is somehow one window too many and I start getting lost switching between the main window, the battle view and the Bestiary - and accidentally the Players Window. It gets even worse if I'm also trying to edit the Fog of War during a battle.
You're welcome to join our new Discord as well (link on the main page) where there are also some feature discussions ongoing.