System dependant, and just what you are doing with said 'Innuos' box.I won't be able to use a wired internet connection. If I use a Wi-Fi multiplier or another router and then hardwire innuos, will it work fine?
If you are using a Zen series to just play local stored files, all the WiFi is doing is sending instructions and it can and does work.
If you are using either Zen or Pulse series via this method to stream from the likes of Qobuz, it can and does work, but will be sub optimal - as they explain on their site / web blog.
As for differences with Stored (in the Innuos box) V Streamed, Streamed is actually rather good here, but there are differences to be heard.
Your MMV and can be 'kit dependant' and also what you are looking for musically.
Wired direct ethernet is highly preferable.