I think the new TR is more of the later than the former. It isn't like former TR games, much like Fallout 3 isn't Fallout 2, but it delivers what it offers, an interesting action game with a few puzzle and open-world elements to spice things up, and a few hidden depths. That's way more than 95% of the games being released nowadays so props to Eidos for that.
Funny you gave that comparison, I usualy use it to show how it's possible to change franchise quite a bit, and still retain quite a lot of original feel...
As a big fan of original Fallout games, I was more than worried when Bethesda took that IP...it was more than obvious they would make ES with guns. Still, Fallout 3 and NV retained lot of original Fallout feel, and although not as half as good or atmospheric as Fallout 1/2, I still have no problems calling them legitimate Fallout games for modern day gamers.
Opposed to that, this new TR not only has myriad of its own problems as standalone game, like so many reviewers pointed out in their reviews (and do look beyond scores, they are often much higher than what reviews actually sound like - $quare €nix at work there, I suppose), but it completely fails as TR game - instead of exploration, intricate puzzles, platforming and combat that served more as acrobatic show than actual combat, we got game with all those elements painfuly dumbed down, except for combat which become primary focus, thus completely changing DNA of TR.
In additon to that, old TR had bad ass Lara, one that was tomb raiding since she was teenager, and was trained in such affairs - as opposed to this whimpy in presentatonn, yet super-soldier/psycho-killer in actual action Laura - no it's not typo, I really think this one should be called Laura, cause she was created for "modern" audience in mind and has nothing to do with Lara, just like this TR has nothing to do with original franchise.