No, it is not automatically a strawman. It’s only such if it was intentionally contrived to support a particular position. An imaginary person used in a socratic dialog is clearly not automatically a strawman, for example. That would be tantamount to saying Socrates himself (potentially an imaginary person used by Plato for argumentative purposes) is nothing but a strawman.

Not only was the meme not a strawman, it was an incredibly common conversation that happens in real life dozens of times every day.