Prepare for advanced fan theory: This is clearly post-"Moving into Dorms" since All Might is in front of Deku's mom in his weak form, but the only time Deku visited his mom after that episode (as far as I know) was in the Christmas episode. That means that this cannot canonically take place in the current canon. I therefore hypothesize that the only time that this could take place is at some point after season 6. So, I guess your joke might not be too far off the mark, because maybe they actually started dating post-season 6.
(NOTICE: I do not read the manga, and since I watch dubs, I've only watched about halfway through season 6. Some information may be invalid.)