Can't really tell how the size differs from those pics but you have to look at the material whether the jeans will stretch or not. I am not 100% sure but I think most (if not all) 100% cotton jean won't stretch as much (if at all). The more elastane there is the more it'll stretch, SLPs range from 1% to 2%. On the raws, I believe they have polyurethane instead but those also stretches more over time but has a different fee, like more rough, probably more than elastane. I think the difference is over time, poly stretches more and retains the stretched shape until you wash them while elastane stretches more initially but doesn't really retain the stretched out shape as much as poly?
I know APC raws has poly blend while some of their washes are 100% cotton and I am not sure it'll stretch much so I'd go with a comfortable fit with it off the rack. I am not sure SLP has 100% cotton jeans though.
I'm no denim expert so take those with a grain of salt.