They absolutely do not do the same work better......They work in a similar fashion, but each Tsunade has a better use depending on the situation.

If you can pick up Hokage Tsunade frags by piecing them together and not go out of your way for them, then she is a good deal....as was the case for her being on the lucky stars wheel both times. Anyone saying that her healing in is worse than the other versions really doesn't know what they are talking about. In 3v3, GNW, Ranked battle, Hokage Tsunade does NOT have an equal. While there are better healing ninjas for utility NOW for pvp 1v1, etc, back then she was top notch.....as she was the only one of her kind.

I wouldn't advocate going out of your way for her.....especially since she is supposed to be added into tendo treasure along with Tobirama. (1000~1200 pulls I believe when the get off their lazy rear ends and actually add them like they should have been already....but no incentive cause no immediate $$$), there are better things to spend your coupons on. She isn't as essential as say, 6P Naruto, Edo Hashirama, etc. If she goes into another Lucky Stars and you can redeem in there for something AND get her at the same time, by all means, go for it.

But to say that she is beat out by lesser versions, that is just laughable. If that were the case, she would be thrown out there constantly.