Apple TV Computer app not showing entire movie library

Only a very small part of my movie library on my Mac shows up on my Apple TV's Computer app. The "TV" app on the Mac however lists all movies and if I open any movie on the Mac, this then becomes visible in the library on the Computer App on the Apple TV. It is almost as if the Computer app on the Apple TV cannot see the location of any movie in my library without a nudge from the "TV" app on the Mac.

Apple tv model: 4k 1st generation A1842 32GB

TVOS 26.1 (23J582)

Network connection: Ethernet

I am aware that this question (or similar) has been asked before on this forum, but so far without a satisfactory answer.