Would Apple be a monopoly if they did enter the 'search' business? Google at least can leave Android free, and people that ship it able to customize as well as customers able to switch search providers. Apple would have a very vertically integrated stack, and would they allow anyone else making a phone equal access?
Apple is a monopoly in tech just like Louis Vuitton is a monopoly in luggage, so no. Okay, maybe for US it's Samsonite but for the rest of the world Apple is more like Louis Vuitton - a premium brand that is one of the leaders in design that everyone else follows. Just being popular in some circles doesn't change the fact that they hold a minority share in the market. Maybe people in Orange County might believe that…
Also, our layman definitions of monopoly do not matter when it comes to antitrust laws[3]:
> Courts do not require a literal monopoly before applying rules for single firm conduct; that term is used as shorthand for a firm with significant and durable market power — that is, the long term ability to raise price or exclude competitors. That is how that term is used here: a "monopolist" is a firm with significant and durable market power.
[1] https://www.pcmag.com/news/ios-more-popular-in-japan-and-us-...
[2] https://www.businessofapps.com/data/app-revenues/
[3] https://www.ftc.gov/tips-advice/competition-guidance/guide-a...