I'm on the Rdio mobile development team, so I can make some personal reflections from that standpoint.
Xamarin allows you to write native applications in C#. Any slowness, jankiness, ugliness or bad-appiness usually has nothing to do with the Xamarin layer itself.
You save some time being able to share core business logic between your different clients, but you're still writing the UI from scratch, specific to the platform. You're just writing it in C#.
But while you save that time, you're spending it in other ways. All of those SDKs you want to use probably aren't compatible with Xamarin out of the box. You won't be pod install'ing that iOS framework, and you might be reinventing the wheel for handfuls of things. Xamarin takes advantage of the NuGet repo so you have a library of components that handle many of the things most people need (Analytics, Testing, Facebook SDK, JSON parsing, Database, etc etc) but it doesn't cover everything. And it certainly doesn't cover stuff that's out the day of an Apple or Google product announcement.
Any 3rd party code that you do want to import into your project will be done through writing custom bindings. While not usually difficult, it is time consuming. Xamarin has a team of people that specialize in assisting you in this. This fact speaks to the process being messy at times.
So while the slowness, jankiness, ugliness or bad-appiness probably isn't the fault of Xamarin, it might be the fault of you spending time in places you normally wouldn't, or not being able to take advantage of features you normally would. If that 3rd party partner SDK is giving you problems, your troubleshooting may take twice as long because there's a layer that you don't control.
- UI is a wash. You're writing it from scratch anyway.
- Business logic is shared. Depending on the app that might be a win if you architect your application to take advantage of it.
- Compatibility / bleeding edge ability will be lacking. That might not matter to you at all, or you might be the person wanting to take advantage of that hot new API in the next OS release the day it's announced.
My personal thought, without knowing specifics, is if you want to build an application that you plan on being around years from now, and that will take advantage of the latest and greatest, I'd tell you to write natively for each platform. Unless you can really see huge gains in sharing that business logic the upfront gains are minimal. Or if you really like C#.