I think the size of the crowd matters here. Streaming feels more personal because you are doing it by yourself and the total number of people watching the same stream is probably quite small. You could even message them and they might respond. It's more personal than watching a movie or TV show. On a slightly grosser level you know deep down that there is zero chance of ever hooking up with Megan Fox, but with a random OF model that feels like it might be possible. Even if it really isn't.
An interesting comparison is K-Pop singers who are at the same time megastars with millions of devoted followers, but also carefully managed to always seem available for a relationship. A truly difficult bridge to cross, but they somehow do it and make bank.