I wasn't following the WWF at the time this HIAC match took place, but I know from what I've read that Batista was never fully embraced by fans and I wonder if this match had something to do with that.
And here lies your biggest problem.
You weren't following the WWE at the time of this match. And you're going off what you read that Batista was never fully embraced by the fans.
Now, I'm going to discount your opinion here (there are some valid points in your post but not in regards to the subject of Tripe H killing Batista's career) because I really have to question what you read that gave you the impression Batista wasn't fully embraced by the fans.
I certainly hope you're not basing that opinion of the comments you may have read in the IWC.
It was because of that feud with Triple H that Batista became such a huge star. If you were around at the time, despite what some members of the IWC may try to make you believe, Batista was easily the hottest act in the company.
I think it's a ridiculous thing for anyone to try and argue Batista wasn't fully embraced by the fans so I wouldn't put much stock in wherever you read that.
They're talking about a superstar, who in the span of 3 months, went from being a mid-carder with little reaction to the "The Man" with the biggest reactions. Batista was so hot in 2005 that had they put him in the ring with Undertaker, he'd be cheered over him.
The only thing that slowed his momentum was his injury in 2006 that kind of made him sit out 6 months while Cena went ahead in a big time for the WWE. Even upon his return, he was still a huge act.
You have to remember that Batista is someone who was pushed even harder than Cena in 2005 and he didn't receive a hint of a backlash and had people already worshipping him after his first injury. While Cena received that backlash in the midst of his first big run and probably began the movement of fans hating faces.
The only time you had Batista being turned on by the fans during his big face run was in the feud against Undertaker in 2007 and even during that time, there were occassions where he was getting cheered over him. In 2008, the fans were behind him while he was wheeling out Shawn Michaels on a stretcher.
This was long after his big face turn in 2005 where the average fan could mistake him for the next big thing in the WWE (he was treated as WWE's biggest star by international audiences for several years after all).
I'd say he was fully embraced by the fans. It's the reason why he was so successful in 2005, and what allowed him to get as far as he did after his momentum halting injury in 2006.
It's certainly true that Triple H came out looking really good from the feud in 2005 but Batista came out looking much better. Triple H has always been booked strong.
The only thing that hurt Batista's momentum was the big injury in 2006 which kind of took him out of the spotlight and to a lesser extent the move to Smackdown (a lesser exposed show, but even then, he remained hugely over and made several appearances on Raw throughout the rest of 05 and was the focal point of the big Raw/Smackdown feud).
Triple H did not kill Batista's career. He, along with the excellent booking, helped make him into a megastar.