Just an FYi this currently doesn't work with Pokeball pattern Vivillion because it has not been released yet in PoGo . The Pokeball pattern was released as an Event in Pokémon X/Y in 2014.
Defeating the Floette won't end your 60 so using your mon to get them out of the way won't be an issue. Unlike Pokémon Let's Go in this game your "chain" doesn't break if you defeat a Pokémon which isn't of your outbreak