It's an argument, true in spots -- Burr was strong on women's rights -- less so in others, and studiously incurious about things like his Louisiana adventure or his womanizing once he became a merry widower. (Two reasons why Burr's correspondence is so scanty, since a lot of it was also deliberately destroyed.) You'd be better off reading Gordon Wood's essays on the man, and David O. Stewart's "American Emperor."
Yeah,the Time Article is special pleading and a lot of it questionable; I am not convinced that Burr was a crusader for "the little guy",he seems to have been a Crusader for Aaron Burr,with very flexible political principals. it is interesting that the writer ignores all of Burr's flaws, and neglects to mention that Hamilton was also strongly Anti Slavery.
IMHO the writer , from the descripton of the article,seems to swing to the left pretty strongly which might explain her choosing Burr over Hamilton and Jefferson.