People think of virtual sites and services similarly to how they think of physical places. This link has been identified during the web's infancy: you don't download documents online. You navigate and visit a site. Those words are used for both physical and virtual activities. You "go somewhere".
The site or service conveys details about the nature of the activity too. Watching movies on Netflix may paint a mental picture of adults relaxing while watching a relatively mature show. Watching movies on Disney Plus might imply that the adults were spending time with their kids or whatever. Same to real life locations again, you might tell people that you went for a drive down the beach rather than a drive through the city. These simple details can help say a lot about the nature of the drive.
> Me and my girlfriend wanted to watch a movie on Netflix (...)I watched the film on Netflix.
I'm starting to notice this pattern a lot both in person and on the internet. How long until Netflix becomes a verb? It doesn't add to the story, but somehow people feel compelled to advertise the service they use.