When I view the Series section, most of the time I prefer to see a list of continuing series, in table format, sorted by air date. It seems whenever the browser is closed and reopened, this section defaults back to an overview list of all my shows by title. Would it be possible to have Drone remember view preferences or am I just being lazy? 
It does, sounds like your browser is clearing stored data on close and preventing it from remembering. Drone uses local storage (not cookies) for this.
Ah ok… I access it from work most of the time using incognito so that’s probably why. My bad!