To the OP
It depends on the airport and individuals your dealing with
I fly 2-3 times a year to Alaska to guide taking firearms with me. I haven't had issues yet. But I have had Hunters experience a number of issues. 1 guy wasn't allowed to bring his rifle. His wife had to take it home for him. He had to borrow a rifle for his moose hunt with us. LaGuardia airport was his point of departure. United Airlines the carrier.
Another one was a huge hassle at the ticket counter with airline personnel about legality's of flying with a firearm. Agents did not know the company or TSA policies for this. The hunter had to pull up the policy on his phone and show them. Had to get a supervisor involved to finally get approval. Took over a hour. Almost missed his flight after another hour of security line waiting. Delta was his carrier out of Atlanta
It should not be like this but unfortunately in today's world it's a possibility. Every time I go I wonder in the back of my mind if this time I'll get the Ahole agent and if my rifle and gear all arrive with me at the destination.