That's not a particularly unique perspective, many Trekkies choose to process Star Trek as "historical documents." There's a movie about it.
What I don't understand is why you've assigned this theoretical camera crew the intent of "get the camera on the gay dudes, stat" when "get the camera on the relationship between the two main characters" is a much simpler explanation. There are entire episodes dedicated to Odo & Kira, Paris & Torres or Trip & T'Pol relationship drama. Stamets & Culber screen time pales in comparison, and at least Stamets & Culber have some chemistry.
We all know the bubbles will still be green