I think Switch will get a few 10m+ sellers from third parties, and the best way I can describe it is to talk about the NES by analogy. Here are the top 10 NES first party games (excluding SMB and Duck Hunt)
1. Super Mario 3 (18m)
2. Super Mario 2 (7.5m)
3. The Legend of Zelda (6.5m)
4. Dr Mario (4.9m)
5. Zelda 2 (4.4m)
6. Excitebike (4.2m)
7. Golf (4m)
8. Kung Fu (3.5m)
9. Baseball (3.2m)
10. Punch Out!! (3m)
At the same time, here were the third party games that sold a comparable 3m+:
1. Tetris* (5.6m)
2. Teenage Mutant Ninja Turtles (4m)
3. Dragon Quest 3 (3.9m)
4. Dragon Quest 4 (3.2m)
5. Stadium Events (3.1m)
It's true that no third party game got anywhere close to the sales of the Mario games. However, the top NES third party games were around the same level as the rest of the top NES first party games. It's definitely possible for third party games to be very successful on a Nintendo system. And sales of 3m+ on the NES is fairly analogous to sales of 10m+ today. (Factor in population growth + NES mostly had a presence in only US and Japan + Switch includes home and handheld markets.)
All of those third party games were from franchises that started on the NES. So, I think Switch will get some third party hits too. Every generation has a new set of third party games that become fairly big.
*I'll let you decide if you want to count Tetris as first or third party. It was technically created and published by Nintendo, but really it was first created by a Russian man and the game is owned by the Russian government. Nintendo put more effort into securing the licence than they did into actually making the game. Either way there 4-5 third party games that sold like first party games.
curl-6 bet me that PS5 + X|S sales would reach 56m before year end 2023 and he was right.
My Bet With curl-6
My Threads:
Master Thread, Game of the Year/Decade
Switch Will Be #1 All Time
Zelda Will Outsell Mario (Achieved)
How Much Will MH Rise sell?
My Bet With Metallox