"At the time when the Batman TV was first a hit, that the two chaps were indeed homosexuals"
This doesn't even make any sense. They were never homosexuals, especially when the show was hit. Your book is still wrong. It doesn't even mention it being part of the original conception of the show like you said it did.
Here's your proof. I scanned this from Adam West's autobiography:
There you go. Nothing about the original conception of the show having Batman and Robin being gay lovers. The very idea is absurd.