I'm sorry, but real typing is always going to be a lot more efficient than tapping a screen where you have to look where you are typing.
If you know how to type, you don't even have to look at the keyboard (given you have a keyboard with some tacitile feedback so you know your fingers haven't strayed off the wrong keys, something a screen can't give you so you'd have to look). And not looking at the keyboard to type means you can be looking at something else while typing your thoughts (for data entry, the data that you are trying to enter, for example. Which means you don't have to take time to look at where you are typing, you can just type as you read what you need to type in. I can sit here and reply to you and do it quicker cause I don't have to keep searching what I want to hit, I can just put my thoughts right up on the screen without pausing at all to make sure my hands are in the right place.
Typing is always going to be a lot more efficient until they come up with a way that you can "tap" (so you call it) without looking down at what you are tapping at.