I haven't seen the show so can't comment beyond the question asked but, that being said, I do disagree. While it was important that the 2nd U.S. Sharpshooter drew Law's Alabamans towards the Round Tops, to give them the only credit is simply laughable. And to give one sergeant the most credit is ridiculous.
In all fairness, I'm not the biggest Chamberlain fan and think that the fighting on LRT has gotten too much attention, mainly due to the popularity of Gettysburg and Killer Angels, but this analysis seems to have gone way too far the other way.
Ryan