Incremental seed inherited in iterations seem to bug for noises after a few iterations

I've created multiple iterations which depend on random noises. For randomness I'm using a simple incrementation in value processor so that every following iteration should have one greater seed.

It looks like every single iteration calculates noises for every preceding seed till the last one, so the more iterations the more bugged it is. After over a dozen iterations it never settle, and every recalculation of the same node will give a different result. GIF Attached.

Although this method seems to work with the random value in pixel processor. And yes, I have tried to manually change seeds for my 128 iterations and with that it works perfectly fine...and I'm sure I don't want to do this that way.

So firstly I wanted to report this, what at least for me seems like a bug.

And secondly wanted to ask is maybe I'm overcomplicating it and there is some simpler solution for random seed per iteration (like child's seed = 1 + parent's).