Fight? You mean there was a FA defending management, and willing to raise their voice over it? Or by "fight" do you just mean it was a shouting match to see who could be the most angry? I don't really know enough to way in on the issue they were fighting about, but I always just assume the unionized FAs universally hate the execs. That is tragically how it so often goes between unionized labor and management.
This reminds me of the time around their bankruptcy when sitting around a boarding area I hear this senior FA really angrily talking about how they had all just lost their pensions and what was she going to do. (I think she was reacting to news that day.) Well we get on the plane, and she starts serving drinks and meals. Guy in front me decides to chat up the FA by saying, "hey so you lost your pension?".


Guess who got the bad service? Me, and everyone in the rows behind me.
I agree it is not acceptable to have FAs be shouting on the plane, but rather than worrying about writing nastygrams to management to tell these already irate FAs to quiet down, I worry more about what can be done to actually improve relations. Sigh.