I also love jazz music very dearly and study it as much as I can every day.

No rifts here.
And I'm trying to give you my kindest and most honest feedback. You aren't getting torn up. Beethoven was getting torn up. And not in a good way.
The showy gestures do not bother me. I couldn't care less what gestures you use to play, as long as the music is beautiful to my ears.
I recommend you do not do gestures 'for show' because they distract you from what's really going on and therefore from doing a better job.
It sounds to me as though you are trying to play the piece at a very fast tempo and you just don't really have the chops to support it.
You keep the rhythm moving forward effectively, which in and of itself is a good quality. But in classical, you need to control more than just the beat. You need to control the entire sound texture, and make sure that every note speaks beautifully. To my ears, about half the notes just weren't there. The fast notes. They just don't have enough clarity to them.
I think you should really work on your touch and sound. I'm sure it would pay off big time in your jazz playing too. The great jazz pianists all have incredible chops. They can play classical stuff very well! Think about Bill Evans and Oscar Peterson.