The official Star Fox Zero website has some information potentially worth noting for the upcoming 2016 release. The site mentions both amiibo functionality and also online features. Although the mention of online functionality could just be referring to Miiverse posts – it could also mean the game may have additional online modes.
The site quotes:
“Game, system and amiibo sold separately. Compatibility and functionality of amiibo may vary by game. Visit amiibo.com for specific details on how each amiibo works.
Broadband Internet access required for online features. For more info, go to support.nintendo.com.”
You can check out the official website here.