I'm not going to lie you haven't proven your point. Where is the empirical data to prove brand confusion affects numbers.It's 'bullshyt' to most fans who consume this media regularly, but to the average person or to distributors, brand confusion is real.
When The Batman came out, there were people who asked where Christian Bale was when he hadn't played the character in a decade.
Green Lantern The Animated Series was pretty much DOA because the movie flopped and no retailer was trying to carry any more Green Lantern toys. Didn't matter that it was a different property. They just saw the GL name and thought the brand was too toxic.