First person to ever answer my question with some actual features. hahaha
OK let's go over them.

• Notifications ... I assume you mean Push notifications. Yep that's a benefit of mobile. (Or drawback if you're like some people who hate what push notifications have done to their life)
  As for non push notifications... we already have that.
• Local storage of credentials - I mean it's a different ballgame with blockchain and crypto. Credentials is complicated. Basically i think you can probably expect this solution is an additional thing to do... not something the mobile itself will solve. But yes a problem we'd like to solve regardless if it's in app form or mobile form alone.
• Home screen shortcut.... nope this isn't really an app thing. You can do this with mobile right now in litterally 2 seconds. Actually you can do it faster than using the app store perhaps... or equivelent. Just not as many people are as used to how to do it... so app store makes it more in line with what people know.
• What kind of widget is the question? That's not implied with mobile that's a whole other development process from what I know. That's an addition.
• Navigation gestures... not sure what you mean by that and what ones are available on app that can't be available on mobile?

NO KEYCHAIN... this is for sure one of the top two problems with the mobile experience. Steemconnect is not user friendly either.
The other main issue is that the editor and mobile keyboard don't play together well.