2) Ohtani implies the Angels don't share his passion when it comes to winning
Like the first quote, this isn't necessarily false. The Dodgers are one of, if not the most successful franchises in the majors this past decade. They've made the postseason 11 consecutive years and counting. They've won the NL West 10 times in the last 11 years, and the only time they didn't win it they still won 106 games. They've won a World Series and three pennants during these 11 years. If you want to win, the Dodgers are undoubtedly a great place to go.
What upsets Angels fans about this quote in particular is the fact that he implies that the Angels don't share the same passion about winning that the Dodgers to. With Arte Moreno as the owner, that definitely is true to an extent. Moreno won't go to the levels the Dodgers do financially when it comes to payroll, player development, or anything regarding the roster. Even if it's true, it hurts to hear.
All Angels fans want is to win. It's really frustrating to hear the best player on the planet pretty much say that his former club didn't match his passion when it comes to that. Again, it may be true. That doesn't mean it doesn't upset Angels fans to hear.