The main requirement of ghusl is that the whole external body is washed properly with water you know to be clean, and that your mouth, nose, and ears are clean.
If you want to copy how the Prophet :saws: did it (and he was usually methodological in his actions) you can, but the right side and left side of the face part is not true as far as I kniw, he'd apparently pour water over his right shoulder before his left shoulder, and pouring water over the shoulder is normal when bathing from a utensil anyway.
If you are using an overhead shower, just get under it and wash your body properly, you can scrub the right shoulder, armpits, and back first, but the front and the face are even so there's absolutely no need to go ott and make a mockery of yourself before Allah by washing the right side of your face before the left side.
It's nice that we have some observations on how the Prophet :saws: made ghusl from his wives, but it gets a bit silly when writers add unnecessary rituals to it like it's ocd or something.
I used to get so exasperated when people used to ask me if I had performed ablution after a full bath and or shower including brushing the teeth..... like please leave me alone man, my whole body was just scrubbed with soap and washed....(not from a small utensil where water had to be carried from a well).
The yahoods have a habit of making irrational traditions and then coming across funny, we're Muslim - keep it real.