ClothBind-System produces weird artifacts after a while

[tyFlow]

Not necessarily, just sim some particles falling down and disappearing (as you do), but only over a finite time range (ex: 200 frames, so at frame 150 have the emission stop so the particles all eventually disappear), then overlap the caches with an offset (ex: 100 frames). You won't notice the intersections during the overlap and there won't be a hard cut.