Imagine the time where you knew something of a second language, but were not fluent yet (some of you may have never tried, but most people have done at least a little of a foreign language), watching a program in that language with subtitles in that language. That is what text subtitles are for a lot of deaf.
I suspect there are a few reason for that beyond the explanations you gave.
1) Speech is faster to produce than text. Professional captioners are among the few who can challenge that. For everyone else, it's usually faster to give a speech or say what's on your mind than to type it all out.
2) Speech frees up the eyes. My vision is usually in greater demand than my hearing, so I prefer to avoid committing it to a single activity for a long time if possible. Unfortunately, that's not an option for those without hearing.
3) Speech is easier to attribute to individuals. I can determine who said something with minimal effort just by listening to the sound of their voice.
4) Speech is more immersive for narrative content. Movies and TV shows feel more believable when characters are talking with each other face-to-face like they would in real life.
Unfortunately, a signer in the corner can't make up for any of those factors.
That's true so long as the speaker is the one signing, which is probably true in the context of video calls but probably not in the context of TV.
Think of how expressive language is. You can say the same sentence 3 different ways, where the real meaning is trapped in the tone, intonation, pitch, and emotion.
Think of how dynamic and expressive the word "fuck" is... Probably the most versatile and complex word in the English language.
Or just look at the [national anthem](https://www.today.com/popculture/asl-performer-steals-show-d...)
I'm not an expert, but I suppose that text is a foreign language to those born deaf. They might prefer to communicate in their native language.
(But if someone has lost their hearing after learning to read and write, then it would be different.)
These films (Chinese, Korean, Japanese, French and German) all clearly had posters at the theaters saying they were sub-titles and yet there was always someone demanding the movie be in English.
Also I think a number of people have poor/slow reading skills that they can't bluff about when someone uses signing.
I recall seeing interpretters on TV during special broadcasts a lot, but then they were mostly replaced by open captions or (presumably) closed captions as captioning became generally available. I'd guess there's a bigger pool of skilled captioners than skilled interpretters, but it's also a lot easier to find someone on staff who can type fast to caption in a pinch.
All that said, I do see some very special events with interpretters still, and I apprechiate that, even though I don't sign.
I've wondered this since I first saw a TV broadcast with a signer off to the side. Isn't that what closed captions are for? Surely it's faster to read text captions than the gestures of some low-res recording of a human stuck in a tiny box in the corner of the screen.
Video chat platforms like Zoom almost always have a text chat feature. Although at least for those I can see how it might be faster and more personable for many to sign than type.