Other mistake: When walking through the Captain America display at the Smithsonian, Brody and Sam stand in front of a Captain America mannequin next to his shield. The mannequin is wearing boots of noticeably different heights.
The Falcon and the Winter Soldier (2021)
1 other mistake in season 1
Starring: Anthony Mackie, Daniel Bruhl, Sebastian Stan, Wyatt Russell
Character mistake: Bucky says he read The Hobbit in 1937 when it first came out. But in 1937 he was still living in New York, and The Hobbit was only available in the UK at that time, with fairly limited numbers printed. It wasn't available in America until 1938.
Sam: You don't have to trust Redwing. But I'm going to go see if he right. 'Cause I have a feeling they might be part of the Big Three.
Bucky: What Big Three?
Sam: THE Big Three.
Bucky: What Big Three?
Sam: Androids, aliens, and wizards.
Bucky: That's not a thing.
Sam: That's definitely a thing.
Bucky: No, it's not.
Sam: Every tine we fight, we fight one of the three.
Bucky: So who are you fighting now? Gandalf?
Sam: How do you know about Gandalf?
Bucky: I read The Hobbit...in 1937 when it first came out.
Power Broker - S1-E3
Trivia: When Dovich and Karli are speaking in the street in Vilnius, Lithuania, visible in the background is a gate being guarded by several men, and on the gate is an encircled X, very reminiscent of the X-Men logo. The fictional nation of Madripoor seen in this episode is also closely associated with the X-Men in the comics. (00:38:57)
Question: Why does Bucky rip his jacket sleeve off before jumping out of the plane? Just for the sake of an audience reveal to demonstrate his artificial arm?
Answer: Aside from visual aesthetics and it being nice to see the metal arm. In world/practically I think (and I believe this is the reason why he tends to not have a left sleeve in most action we've seen him in prior films) it's also to assist with mobility during fights. The metal arm likely behaves a little differently than a human/bone and flesh arm does - and restricting that in a sleeve during a fight (especially in a thicker jacket sleeve) might mess with his reflexes. So removing the sleeve probably assists with the mobility of that arm.
Chosen answer: The sleeve probably would have been ripped to shreds in battle anyway. He was just saving time by ripping it himself. Also, gunfighters would take off their coats in a duel or an arm wrestler rolling up his sleeve.