I've noticed this just starting to happen to me much more aggressively in the last few days. Now the Gmail app will pop up that same modal box in your screenshot every time I make the Gmail app have focus (from the home screen or from the square-button-menu), and every time I open any email.

None of the Google apps respect me. The maps app makes me disagree to giving enhanced location tracking every time I turn on location. The music player has a big bar constantly at the top that says "Downloaded Only," which if I accidentally tap it turns off downloaded only mode and kicks me to the store. If I leave location on accidentally, the camera app will sometimes use location to guess where I took a picture and ask me to "share" that. I don't use Google search, but I can't remove the giant search bar from the main screen or the shortcut if I accidentally hold the menu button.

Those are the only Google apps I use, and they all disrespect me. I only use a bit of Google but it's exhausting to even use just that bit.