Kinda manipulative **Spoiler**
The show obviously wants you to root for notdaenerys and side against daemon. They make him out to be this brash and overly violent guy before the issue of heir comes up. And of course notdaenerys is going to achieve something no other could by getting the egg without a hitch.
Thats probably what RR Martin wrote in Fire and Blood but I'd rather have it where both present themselves as reasonable heirs and the audience has a chance to choose rather than being told right off the bad that one is good, the other bad.