Sphere animated through lines

Hello everyone.
I’m trying to get this sphere passing through lines (rectangles arrayed). I created a basic geometry node setup where the lines spread when the sphere passes through them, but it’s still not smooth. The problem is that once I animate the sphere, the lines shift differently every frame.
Do you know how I could correct this problem so the lines move smoothly and the proximity is not getting calculated differently each frame?
Thanks a lot in advance !

NB : The sphere has a rectangle behind it so it leaves a “trail” when it passes through the lines.
Subdivision surface makes the lines smoother but doesn’t solve the problem.
Blend file is too heavy so I post a wetransfer file.

GeoProx (1)

Deja vue… i think someone had posted about this…

Edit:
Ohh it was also you…

Yes, but this setup doesn’t modify geometry, it’s 2D. I managed to find a decent result but still can’t get it done perfectly