A die doesn't have a point, A taper tap does.
The point is questionable except on really small dies, the purpose of the taper is to align , and start small cuts. Both taper, gun taps, and plug taps have a taper. It's just a difference in the amount of taper and the amount of threads that are useful.
I can't answer how far you can tap in a blind hole, it varies. I would say you want to stop as soon as you feel the bottom if hand tapping, if power taping, you should know your depth and back out before it. You don't want to break the tap. put a sharpie mark on the tap marking the holes depth and a little less if power tapping. or set your quill stop.