Am I overreacting by thinking this video is privileged?

So I recently stumbled upon the following video by AGC Andy called “eating Chick Fil A is homophobic” which essentially satirizes people who call out others for eating Chick Fil A because of their history of homophobia.

I’m not gonna lie, passing it off like “It’s just a sandwich” and “I just wanna eat, bro” feels incredibly privileged and douchey. Like, the woman in the video is making valid points as to why Chick Fil A is homophobic and why AGC Andy shouldn’t eat there and he’s just…doubling down on his privileges.

I’m not a Saint, I’m a queer person who’s eaten at Chick Fil A in the past (It was before learning about their continuous support of anti-LGBT rights) but this feels…gross imo.

Am I overreacting/missing the joke here?