I've read plenty of music textbooks, it's just easier to link to wikipedia than it is to scan in pages from my books.
I gave an example of a popular song in which it works, and you gave a reason why it works. Therefore, it is a valid way to produce music and you know it.
That's you. I don't have that problem. maybe your books are full of misprints. You can go back to my soundclick page that has only been updated once in the past 4 years as many times as you like to "prove" you're right, but as tricky as you find 3/4, I understand why you would think they're offbeat.
A lot of my a cappellas are probably not exactly on the beat but I guarantee the instrumentals r not off beat unless I want them to be. U don't like my music, that's fine. I'm used to that. But it's not "wrong" just because u believe in rules that don't exist and I like to put things where they're not expected.