No the comic is pointing out that the sun and the earth are both orbiting the milky way galactic center.
Edit: While also true, I was wrong, they orbit the center of mass of the two body problem (earth and sun). I still think that’s too simple of a way to look at it. It’s not a two body problem and the other planets and the whole galaxy are also in play.
I recently upgraded to the new GE all in one washer dryer. Removes a massive step of having to move clothes between dryer and washer. Toss em in, and 2 hours later they’re done. Best part is they can be tossed in before bed and ready in the morning for work!