Thank you very much. My coach places a lot of emphasis on grip fighting and I try to pay a lot of attention to my grips, frames and positioning before I even think about attacking (hopefully as I improve, this will become more fluid). Most of our sparring is actually grip fighting and moving each other around and taking position rather than just repping static throws, which I feel is really beneficial when it comes to responding to live opponents.
He actually had me learn judo as a lefty, because I am right handed, but comfortable standing left foot forward due to boxing. I can shoot off either foot, so I'm ambidextrous with stand up in a sense and used to accidentally switch stances a lot, but he told me to make a concerted effort to learn as a lefty because like you said, it throws people off.
Here's one other clip from the open belt division. I really tried to commit to the ura nage (my favorite throw) to counter his right hand grip and to keep my posture unbroken to defend the hip throw, but he started dropping all his weight and hanging off of me. I realized I was trying to bully him into it too much and when he went for the trip, switched to a forward throw which worked.