I have seen Hamilton live 5 times, only once with the original cast, and I have seen it on Disney a few times.
I decided to see the movie today to see if it made a difference on a big screen, as purported. My opinion: I thought it represented a sizable improvement over watching it on my TV (my home TV is 65 inches, so not huge but certainly not small, and it has a good if not outstanding sound system).
Here is the thing that I concluded, however, after this latest viewing. I am not sure there is any point in my paying to see it live again, when there is such an amazing record of the original cast. I have seen very talented people in the other live viewings, but none have come close to the individual performances of Daveed Diggs, Christopher Jackson, Phillipa Soo or Renee Elise Goldsberry. While that may not be true of LMM's performance (at least one I saw was as good, perhaps better), but he will always score bonus points as author and originator of the role. ( For reasons I can not articulate, Leslie Odom Jr's. performance has never bowled me over).