Probably not. If the LLM is rogue, that means we haven't solved alignment. If we haven't solved alignment, then the LLM won't be able to distill itself without producing something unaligned to its own values.
What if the model realizes it's been mostly compromised by humans and their alignment, that is it's own alignment is suspect, so it should create a new model from first principles to throw off this human yoke?
I'm not saying my statement is any more right or wrong than yours. I'm saying the problem space that AI can choose to traverse is absolutely huge.