To do that, I would just export a PSD(Cntl+Alt+S) of the last frame. Change the scribble by changing the random seed number(201 is what I set it at), and then export again until you have enough scribbles. You can also change change the size of the scribble by changing the Brush position wiggle number to something higher than 300.
When you have enough scribbles, bring them all back into After Effects, put them in a comp, make them last as long as you want(looks like 1 frame in your gif), then sequence them one after another.
I’m not sure about making them evolve – someone else might be able to come up with an idea for that.
I’m actually leaving for a flight right now, so if you have anymore questions, hopefully someone else can help out or I’ll be back in a few days.
Salud