So what's the problem, then?
A.) The original broadcast versions (in high picture and sound quality) have been kept in circulation. In fact, if you get the Blu-Rays, you get both in one package.
B.) TOS-R was faithful to the original broadcast versions. The vast majority of the effects were re-creations of the original ones with higher picture quality. Even the new designs were made in the style of the TOS models and stuff. And most of the new designs were either stuff we'd never seen before or things that had only been scene as blobs of light.
Most of the time the original cinematography was re-created to follow the original cut (and those that didn't usually had the same visual ideas in mind, so it was like seeing the same scene from a different angle).
So, did TOS-R "maintain and respect the integrity of the original work"? Heck, yeah. Esp. given that it's designed to sit along side, not replace, the original and that the changes fit within the show's visual story-telling style.