I've come to conclude that the error most of us are incurring is based on the most recent game update, which is from EA. After getting everything downloaded (Roster Updates, Tuning Updates etc.), I was no longer able to play any game type accept for online play, which interestingly enough, ran smoothly. To counter this problem, I deleted everything, and reloaded everything except for the online game update. Everything worked fine, minus the fact that I couldn't play online, which is kinda besides the point yeah? So, in the second attempt at downloading the online playing update, Nothing worked. I could go and pick a game type, set it all up, but the game would freeze at the load screen. I got online, saw that most just had to re-initialize their PS4, and the problem was solved. Not so much for me and what appears to be a great amount of other users. Re-initializing it just had me redo the steps, and no problem was actually fixed.
EA needs to build some form of patch for it's most recent game update, that is the only thing that's going to fix it. I have not encountered this problem in any other game, some from EA as well. All I want to do is play some damn Madden.