Although, technically, you could jump in the wall if you ever go between one of those columns.
Yeah they are different because you could exploit the game mechanics and box clipping. You can also double jump if you land a little short in the first one but it doesn’t work in the second one.
I’m not a gamer either, but I learned programming in the 80s from the people who built these types of games. Also I played them a little bit because I was a kid.