Triple H has done plenty to feed into that myth over the years, so I don't blame people for thinking it's true. As for who he's put over, I'd say half the names on your list were already established when they got around to facing Triple H in the ring. There are some exclusions from your list though, like Shelton Benjamin who had the best year of his career feuding with Evolution. I'd also argue he didn't put Booker T over because, well, he didn't. He won at their Wrestlemania encounter after dragging race into the feud. That's extremely messed up.
Is he the legendary shovel that everyone says he is? No. Has he buried talents along the way? Yeah, but there's an argument to be made that those talents would've overcome that burial if they were truly talented. Punk took quite a few verbal hits from The Game and gave it right back to him. On the other hand, D-X called out Masters for using 'roids. When Chris dropped the needle, they called him out for slimming down. He couldn't verbally dig his way out of that hole. Top of the card Sheamus took a Pedigree through a table like a punk for no reason in a match that Triple H interjected himself into for reasons that had nothing to do with Sheamus and the Celtic Warrior hasn't recovered since. Granted, that was also around the time where people were 'reporting' that Sheamus and McIntyre were Triple H's golf buddies that were going to get the preferred treatment because of their connection. So what does Triple H do? He does what every message board since the year 2000 claims he's always done and buries the guy that's supposed to be his protege. I think he loves the perception fans have of him because it gets him legitimate heat. If he didn't, those infamous 15 minute long promos that opened Raw for years on end wouldn't exist. The guy's old school and he wants to work over these new school fans. Imagine their surprise when he started spearheading a developmental brand and advocating for talents.
EDIT: Yes, Booker T became successful because he's a charismatic and talented performer who had name value and was willing to play ball, but it wasn't because Triple H gave him a rub or put him over. If anything, the feud with Triple H set Booker T back awhile.