No, this is absolutely false! Please do not cuddle or hold your roosters, unless you want them to turn into monsters.
I have had a total of three different roosters, the first one I cuddled every day from a tiny chick. He turned into a monster and flogged my mom badly. The second I cuddled as well, but not nearly as much. He was much better, but still unfriendly. The third I didn't hold or pet or even go near. He is the best rooster I've ever had, and never disrespects me.
When you treat a rooster like a pet it humiliates them, which makes them aggressive. They're made to protect their hens, not be coddled. They are not pets, period.
Absolutely this is true. I had a cockerel who would sit on my lap and enjoy scratches and cuddles until one day he went absolutely psycho on me. I raised him from a chick and everything. Their hormones will get the better of them eventually (most cockerels, not all, you might be lucky, but I've never had a good experience with cuddled roos). I just saw it as if he's familiar with you, they realise us humans are pushovers... until we're not.