I agree that they couldn't get their act together, but for him to tell Cindy that about the fight, putting blame on her for Caylee's death, is harsh, IMO. I'm not a fan of the Anthony's because I loathe how they seem to be covering up for Casey, but I totally understand them disliking LP, if he was saying that kind of crap to them. Casey killed Caylee... not Cindy, not that fight.
Apparently LP agrees with your assessment, as he himself used the word "harsh" in describing himself. IDK, maybe 'forthright' and 'tactless' could describe the same behavior. But it sounds to me as if LP was being honest, if not diplomatic. IMO.