Are you talking about more third party amiibos, or how third parties will use amiibos with their games.
The former: No doubt that amiibos are expanding, and consdiering we are getting amiibos for both SK and Cloud, anything is possible really.
The latter: Eh, there are small bonuses in games like Mega Man Legacy Collection, but other than that, I only see Nintendo really supporting their games heavily with amiibo.
"Just for comparison Uncharted 4 was 20x bigger than Splatoon 2. This shows the huge difference between Sony's first-party games and Nintendo's first-party games."