King Richard - I sometimes wonder if reviewers even watch the movie they are reviewing, because the takeaway from about half the reviews, that his movie was an homage to Richard Williams, is just wrong. Richard Williams comes off insane in this movie, and potentially wrong about every major decision he made. His wife tells him as much in the scene in the kitchen in case anyone was not sure what the point of the movie was. His daughters love him, but he may have been wrong about everything and just a total psycho of a sports parent that just happened to father two of the 10 best women's tennis players in history so his decisions ended up looking smart even when they weren't. At least that is my takeaway.
One of the things I like about this movie is that it is not clear if he was right about some, all, or any of it, and that isn't really the point. Will Smith does a great job with a very complicated character. Raising two prodigies in that environment is a fascinating story by itself, but throw in the fact that Richard Williams is such a dodgy character and kind of crazy, and it is a great story.
There is some artistic license taken with the order of events, and to avoid having to use two actresses for each of Venus and Serena. I don't have a problem with that. One thing that you have to read between the lines to recognize is that virtually everyone with tennis expertise that met the girls, even when they were very young, recognized immediately how special they were. It changes the story a little when you realize that, but I think that is intentional.