Grease Pencil Displace Modifier

I'd like a way to produce procedural "boil" on Grease Pencil Strokes, in a more flexible way.

There is currently a Grease Pencil modifier called "Noise" but each point seems to be effected independently, so it results in jaggy, ugly drawings. And there don't seem to be any options to control this behavior.

Link

I propose a "Displace" modifier, similar to Mesh Deform. This would allow for any texture in the file to be used as the basis for deformation. Noise or Clouds would probably give the effect I'm looking for. This would also give the ability to scale the effect.

Please keep the "Step" option! Step is perfect for the "Aminating-on-two's" look.

Would this be possible?