It’s also being dismissive of real problems people face.
No, it's not doing that all! Having your name spelled wrong on a Starbucks cup IS NOT a real problem! You're fabricating outrage at something that does not exist in the comic. The artist is making fun of the petty nonsense that people complain about. So, it's not dismissive of real problems because it doesn't list a single real problem in the comic.
You do realize that comparing degrees of suffering like this
Having your name spelled wrong on a Starbucks cup IS NOT a degree of suffering. The comic is about petty nonsense. If the comic had a white woman in it complaining about her name being wrong on a cup everyone in the comments section would call her a Karen and the comic would not be so controversial.
Today I am in a large parking lot that is only 5% occupied. This family pulls in and parks away from me but doesn't shut off their car. Then a minute later they back out of that space and attempt to back in to the spot right next to me. The wife got out of the car to guide the husband into the spot. The entire parking lot is wide open!!! WTF? They didn't even have the courtesy of parking one over from me. Definitely, it's the Simulation fucking with me.