Bron was getting booed in every NBA arena every time he touched the ball for 2 seasonsLeBron was only under criticism in the 2011 season, and mainly because he brought it on himself with his many charades that year. He wanted to embrace the villain role, and ultimately cracked because he can't handle being disliked. When the Heat won the title in 2012, the media was back to slurping him and it has been that way ever since. In the midst of their slurping this past season, they flat-out disrespected Steph Curry by giving LeBron more Finals MVP votes than him which should have never happened. I guess their making up for that now.
Bron Bron has never been as hated as Kobe, by the media. Kobe professional and personal life were under attack for a good 2-3 years, and he was the most hated athlete in America. The media begrudgingly respected him in the ensuing years because they had to. His play forced them to. Durant and several other players know about the media's disrespect of Kobe and called it out.

if you were ask those same people today why they were booing him, they'd be like

the media did a masterful job making him a villian under the pretense of "oh, it was because he embarrassed cleveland and brought it on himself." he had no choice but to embrace it.