How do I keep the noisy outlines from being animated while they should not be ?

I do not check "animated noise". And as long as the camera is still, no problem, lines are still two. But as soon as the camera moves, the noisy outines get animated...
In deed, looking at the way they move, I feel like they use a still noise filter attached to the render area, so when the shapes move then the noise applied to noisy outlines changes because it stays attached to the render area instead of moving with the shapes.
Did somebody already met this problem and found a trick ?
It's really annoying ! I use it for landscapes and it looks really strange when lines start dancing suddently juste because the camera moves.

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