Ok I got it. This is of course a bit trickier. But from watching your video I can say right away that you need to move your picking hand closer to the neck of the guitar to be able to mute the strings with the palm. Your current setup is very Gypsy-like which of course is a great style, but I could never get the muting to work that way. I know Troy has videos where he plays this way with a lot of distortion but have no muting problems. Marty Friedman is an other example.
So I’ll just show the way I have solved it for me. In the video, I first show the way it looks like you’re playing. Then, I move my hand closer to the neck and put my palm on the lowest (in pitch) two strings (ie E and A). This probably will feel a bit alien to you if you haven’t tried it before. It might change the angle of your arm and wrist.
But this placement is key to have e solid muting of the low strings when ascending. In the end of the video I show how you can just lift up the palm from the low strings if you need to play them with an open sound (not palm muted). As soon as you start playing the D-string, I lower my palm onto the low strings again to mute them. This is the way I do it anyway. There might be other ways that would work better for you.