The oboe embouchure can differ from person to person. I am a “corners forward,” “flat chin,” and “less reed!” sort. If you look at videos on YouTube you will find many who play with gobs of reed in their mouth (my sound is horrible then!). I simply can’t play with what I call a “bunchy chin” yet I see others who do that. I just heard from Barry Kroeker (Hi Barry! Very nice to “meet” you.) and I’m with him on embouchure, so I’m sharing his video here.
I think those who play on a short scrape reed might do things very differently: I play, of course, on the longer, American scrape. I think this might also be the reason that you see many of us here play with our oboes closer to our bodies, while those in other countries play with their oboes further out … some nearly like trumpets. But having never played on a short scrape I’m only guessing on that.