I have the same problem.
Same problem with a brand new MBP that came with 10.14.1 (Mohave release 1) installed. Both CHROME and DROPBOX have two entries in the notifications setting list in the SYSTEM PREFERENCES app.
I've played with various combinations of settings across the two entries. It seems that the settings are logically OR'd -- turning a parm on in either makes that parm active.
It seems likely that the problem is in the way mac os handles applications rather than something specific about the individual app.
In general, all the OSes have terrible notification management -- its a maze of settings that no one could possibly keep organized. Andoird, iOS, mac OS are all incredibly badly designed in this respect. I'm somewhat surprised that no one has written an app to manage all the notifications at once -- I would pay money for that!
I will cross post this into the Mohave support channel at apple.com. It is likely to be fixed in some future release. It will be interesting when that happens which of these very similar entries disappears.
This issue remains unsolved as there is no apparent place to determine how notifications are applied, banners vs. alerts. For example, notifications in DB preferences cannot be alocated accordingly based on importance. Basicallly, at this point, it just creates duplicate notifcations--same content just different delivery. Until this is resolved, do you advise simply turning one off? Also, other apps that have two, Textexpander for example, name each one differently. DB's current implementation is simply to change alert vs. banner preset, but there is no difference in actual functionality.
Please advise. Thanks.
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