Given the context, "this is fine" is obviously an ironic reference to the cartoon dog sitting on a chair at the dining room table with a mug of coffee in a burning house meme.
Normally I would say you're right, but I read the context opposite to you; I read the "fine" as a straight/literal statement: the author of "this is fine" is disputing the author's parent's statement that "this can be considered [a bug]".