JRiver Media Center for Windows and JRiver for Android are two completely different experiences. Media Center for Windows has various features like LAV Filters and madVR, which are not possible outside of Windows. Android in comparison has nothing available that's remotely comparable to madVR, as far as I know. If you're looking to compare the two platforms or if you're asking if there's feature parity between Media Center for Windows and JRiver for Android, you should know immediately that they're drastically different from one another with different feature sets.
The most obvious right off the bat you'd probably notice are the major differences in the interfaces; Media Center for Windows has multiple interface choices including Theater View. JRiver for Android only has one interface (as far as I know), which is Panel. There's no home theater interface aka Theater View in JRiver for Android and there's no metadata displayed (like Media Center for Windows can display in Theater View). Media Center for Windows basically supports every audio and video format there is, JRiver for Android only supports whatever ExoPlayer (can't recall if ffmpeg extensions are being used for things like FLAC) supports. As far as I know there's still issues with video playback in JRiver for Android running on Android TV (aka the Nvidia Shield TV), with MKV files for example if I recall correctly (I'm sure Nathan or Brad can correct me). Last time I checked, there's no options for audio for things like resampling, transcoding, etc. My guess is everything goes through ExoPlayer which I guess depending on the format, may be going to the system mixer. I don't know too much about Android in that regard to tell you definitely one way or another. JRiver for Android, in my personal experience, works best as a portable music player when I'm out and about and I want to play the files I have on my Android phone's SD card which works pretty well in that regard.
Bottom line, as of right now if you want a home theater interface with the amazing things JRiver Media Center (on Windows) provides like LAV Filters and madVR and control over audio quality (resampling, internal volume, etc.), sticking with Media Center on Windows is probably your best bet. I mean, you can try JRiver for Android on your Nvidia Shield TV box and see how it works for you. You can even use is as a client and you can try loading your library from a Windows server via Media Network and see how it works for you but going by what you posted above I suspect it's not going to be what you're expecting. I just don't want you to get your hopes up, you know?