Given the way WINE works, which doesn't require any emulation, it should run on any Linux system, including this one.
With regard to the app ecosystem, KDE are working on a mobile shell, and a project to allow android apps to run on Linux. The other key point with this project is that it crosses a very significant barrier - of allowing Linux to run on a mobile platform. Once that happens, there is the hope that mobile Linux apps will be developed, as they are for the desktop.
Personally, and I think for a lot of the people serious about privacy, I don't use typical apps anyway. In terms of privacy, it's not much of a stretch to call most of them malware. I currently run a stripped down Android build without any proprietary Google stuff or app store, and the apps I need are from the open source Fdroid repo.