>>747514ogoshi and seoi nage are taught at the very beginning since both throws hold principles that teach beginners major components for the other throws. (usage of hips for ogoshi and usage of hands with seoi nage)
Now you're doing a common beginner mistake and getting caught up on the details i mean its the details that can help you turn a bad technique into a good one. However beginners don't even have a basic understanding of the fundamentals that they bog themselves down with details.
Both variants you show and describe are good. But the wrestling video you show is more advance since its a combination technique that requires you being good at shooting (and shooting is a whole other topic/technique of conversation. you asked for hip throws)
The judo video and the first you describe is the very traditional/kata demo variant. Its nice to show the core principle of bending and hip leverage . My problem with this video and how you're describing it being taught to you is that its a standing uchi komi, and no one that you're going to go against is going to stand in front of you hips square like that.
When you practice uchi komis you practice them moving, forward, backward, sideways (left/right) and circling.
Second, even if you're practicing static/standing uchi komis, you and uke need to both have staggered steps (IE, one foot forward, because again no one will ever just stand in front of you perfectly squared up) So yes have your front foot (right foot if you throw rightie, vice versa for leftie)
Now for a beginner body size and weight aren't going to be a major factor for your grappler career right now, You're just drilling these basics to understand the fundamentals.
What I tell my own students is this. KEEP your right ear on their heart. LITERALLY PLACE YOUR EAR right where their heart is.
Why? several reasons, this forces you to bend your knees, and get below uke's hip. A common botch is people standing to tall and not bending at all