No, that doesn't mean that at all. Sex doesn't matter much, it's just that all females are likely to end up male.
Well, all wrasses are protogynous hermaphrodites. They do all have the potential to transition to male as they mature. Whether they do or not, depends on their genus but mainly, the hierarchy of those in your tank.
That's not necessarily correct.
Paracheilinus are a safe and easy bet.
Correct; avoid those.
Not the best genus to start with, but not a hard one once you have experience.
That's also not true, and the whole point of the chart mentioned earlier.