I feel like Noivern will be the one to KO Tyranitar after withdrawing Pikachu. Recall that they emphasized in the magazine scans that Tyranitar makes use of its ability, Sand Stream. Besides the Special Defense boost it might acquire and general-purpose residual damage, the most obvious advantage of Sand Stream in the anime would be impairing the opponent's visibility. But Noivern can use echolocation via Supersonic to find its opponent no matter the obstruction, so it'd be well-equipped to deal with Tyranitar. Ideally Pikachu does minimal damage to it beforehand so Noivern can claim victory mainly for itself. Then, perhaps Noivern goes up against Bisharp, does some decent damage to it before being KO'd. Alain can switch after the KO to Weavile, and we know Pikachu faces it first. Perhaps Weavile outspeeds Pikachu, so Hawlucha comes out and KO's it. Then Hawlucha can deal some damage against Unfezant before going down, and Talonflame can draw with it.
....I still don't like how Noivern and Hawlucha don't really get full ownership over their victories here. Not to mention Hawlucha having the highest physical strength on Ash's team (barring Ash Greninja) still hasn't been properly showcased. This is a Pokemon that could equally match a Machamp's strength in its debut, yet we've never seen it fight any other Pokemon known for their raw brute strength since. Metagross would've been great for that, but oh well. At least him being Ash's third Pokemon to KO a Mega (on his own it seems, no less) is a testament to his strength (even if they should have just given him a decent 2-minute closing face-off like they did with Alain vs Remo >:V)
So my prediction for the matchups of actual significance are as follows (basically excluding Pikachu's encounters with Charizard and Metagross since I have no idea where they would fit. Though Pikachu really shouldn't be facing off against four of Alain's Pokemon, even briefly):
Pikachu VS Tyranitar - Pikachu is switched out for Noivern.
Noivern VS Tyranitar - Noivern wins.
Noivern VS Bisharp - Noivern deals some damage before being KO'd. Then Bisharp is recalled for Weavile. Pikachu is sent out next.
Pikachu VS Weavile - Pikachu is switched for Hawlucha after being outsped too significantly.
Hawlucha VS Weavile - Hawlucha wins. Alain sends out Unfezant.
Hawlucha VS Unfezant - Hawlucha deals some damage before being KO'd. Talonflame is sent out.
Talonflame VS Unfezant - Either Talonflame KO's Unfezant, or they draw.
...While I like the fact it's not just a back-and-forth and there's some neat switching in this battle (as opposed to the battle with Sawyer), Pikachu does not need to be sent out against Weavile. Usually after a Pokemon switches out it only returns when the opponent begins to sweep other team members. If they intend to use Pikachu as a scout and infringe upon the battles of others, they should at least have left Weavile entirely to Hawlucha.