> The words "on the other hand" draws a contrast, suggesting that the subject of the sentence before it

I know it can be hard for programmers stuck in a programming language mindset, especially where one learned about software from "Learn to code" movements, but as this is natural language, technically it only draws what I intended for it to draw. If you wish to interpret it another way, cool. Much like as in told in the Carly Simon song of similar nature, it makes no difference to me.