Agreed although apparently use of the meme is now expanded to include anything that sends us back to 1984, so it could mean "that's an old joke" or "women these days appreciate a big stick, that's outdated sexism."

As an old woman, I disagree though. Big sticks should be appreciated in Nature and then left for someone else to enjoy. That's not sexist. And OP's comic is new to me. It's also adorable.