Trademark heavily favors the company that operated in the industry using the name first. Apple Inc jumping into original media 6 years ago does not help them against a movie theater chain that began years prior.
So we need to wait for Apple Cinemas to start making "original media" before Apple can go after them?
Because Apple Cinemas doesn't create movies. They are a way to watch movies. You know, the way you can watch movies with the Apple TV+ streaming service (2019), the Apple TV app (2016), the Apple TV device (2007), on the Apple Cinema Display (1999), the Macintosh TV (1993), the Apple Interactive TV Box ('90s) or the Pippin (1996). Or basically any Apple device since Quicktime came out.
Apple has been involved in the creation of movies relatively recently, since 2019. But they have been creating ways to watch movies - what you do at a theater - for more than 30 years.