I'm one third into HR and I must admit: it might actually be better than the original (I can almost hear "blasphemy" flying to me from all directions right now).
Seriously: dialogues are more engaging, characters are more interesting, combat is more fun. It could benefit from the former's skill system, surely, but hacking in HR more than makes up for it: it's just so much fun I can't help it but hack everything I can get my wet-ware on. I was actually disappointed that I couldn't hack every last one of the computers at the police station, because of all the cop tossers watching me from every angle. I might go back and kick their sorry asses, so that I finally can, I am really tempted to do that.
The only thing that might be better is the voice acting, but it really is on par with the original, which had its rough edges in that department as well (Adam sounds really cool though, the best voice actor there, period. Dirty Harry reference, wink, wink). Musically, however, the original is still the king, but I mind you that "Deus Ex" had an exceptional soundtrack, HR has a very moody ambient one, but it's not all that memorable. It does help shape the atmosphere though and for any other game that would be more than enough. It is enough for this one as well, it's just such a pity that they couldn't at least be a little closer to that of the original in terms of memorability.
If HR proves to be this good until the very end, I shall call "better" on it.