I'd rather get an app notification than an email notification for pretty much everything I can think of. I'd be surprised if I wasn't in the vast majority on this.
Well, if I can consolidate all my notifications to email, then only one application on my phone needs to have a constant/reoccurring connection to a server for push notifications. Instead of fifteen of the things all acting independently.
Benefit of using an app notification always would come down to platform specific experiences. But replying to github threads over email has been something that I don't have to think twice about