There are differences between all the different remakes of Helvetica. Neue Haas Grotesk just happens to be one of the good ones, and even better, you can get it for free from Microsoft for your own use, it's part of one of the downloadable font packs from them.

I would add to that though, where something is being displayed matters too. If you're displaying on screen and you're not using anti-aliasing (I don't) then whoever did a better job hinting will display better on the screen.