I don’t think it really matters if he looks like the actual dude. It’s rude as hell to pick a generic/famous white guy to portray a non-white historical figure. Some stills of him look really similar for sure but actually watching Lawrence of Arabia he just looks like someone rubbed dirt or bronze on his face and called it good enough
Or Alec Guiness playing Prince Fasial in Lawrence of Arabia
It’s funny, I’d argue the weakest season of 12 monkeys was season 1 where they were loosely following the plot of the movie. Season 2 onward is where they started doing their own thing and it became really good. One of the best finalies for a show too!