
Continuity mistake: Gambit moves further away from Rogue when they are sitting on the couch. (00:03:00)
Plot hole: Nightcrawler spends a good amount of time trying to escape the angry mob on foot when he could simply teleport away from them. (00:02:00 - 00:02:40)

Continuity mistake: Snow suddenly appears on Wolverine's shoulders when he reaches the bottom of the ski slope.
Continuity mistake: When Rogue enters the church at the end, the church doors open away from her. When she leaves, the way the doors close indicate that they were opened towards her. (00:20:20)
Continuity mistake: Nightcrawler gives Wolverine a bible, yet he never had the bible on his person before giving it to him. (00:18:55 - 00:19:35)

Continuity mistake: The monks give Rogue a robe to wear over her tattered ski suit. When she says she needs to go check on Gambit, she is suddenly not wearing the robe. (00:07:00 - 00:07:50)

Continuity mistake: When Rogue walks in on Brother Reinhardt attempting to kill Gambit, she goes from being gloveless to wearing blue gloves depending on the shot. (00:08:20)

Continuity mistake: When Rogue is attempting to rescue Gambit from the avalanche, Gambit's right hand goes from being gloveless to gloved. There is even a point when she is pulling him out of the snow that a glove instantaneously materializes on his hand and then disappears just as quickly. (00:05:20)

Continuity mistake: Gambit is gloveless when he is lying in the snow. When he falls downhill, he is suddenly wearing gloves. (00:04:35)
Answer: Chris Potter, the original Gambit voice actor, did indeed quit the role in the 4th season. His last episode was The Phalanx Covenant Part 1 so it seems reasonable that Fox would limit the use of the character even though it was recast. It doesn't appear that Potter left the role due to animosity, he stated in an interview that he wished to play Gambit in the first live action X-Men film.
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