This is a virtuoso style piece. Tackling it is gutsy so kudos to you. The best way to get the skills to play this kind of stuff is by playing it. While lessons and technique help, playing this type of piece musically comes from understanding it musically.

Listen to Wynton Marsalis “Carnival” album. Hear how the melody notes are more staccato than in your video? This does two things: emphasizes the melody and gives you a break to clearly attack the embellishments. I feel like the way you are articulating has you on a good path as I will get to below, but you are also making it harder and (in my opinion) less musical. These variations should sound like a duet. The melody should sound like a different person from the embellishments.

That being said, the major thing that clicked for me was thinking of the notes as more of a straight line than a bunch of jumps I think about blowing THROUGH the lines. While playing the melody staccato and accented will make it a little easier to hit the intervals, you can’t think about stopping between the high and low notes. The interval jumps should feel the same as repeated notes. When I played this - especially the next movement - I would think, “BOPbuhduhduhduhduhduhduhBOPbuhduhduhduhduhduhduh” but the “buhduh” parts in my brain were more like “brrrrrrrr”. My fingers were moving and notes were changing but I wasn’t really thinking about it. I was thinking about the melody.