I think the in-game analyze tool is on the verge of being useful. In its current state it is a little too clunky having to switch to a dedicated analysis board to use it.
The feature should be usable in real time. Every time I click a piece on the board, or maybe a long press on the piece to select it this way. I think both would be an improvement from moving to a dedicated side board. I think this is my main hangup with the feature.
Personally, I wouldn't mind if the vision of the piece was more obvious. Have the squares a piece can target be highlighted red. This one is more subjective, but it would be great as an option in the settings.
If these changes were made I would use the feature constantly.