Why does it matter for lead times? If 2 fabs with a lead time of few years multiply to 5 with a lead time of few years... your still waiting.
9 women can't have a baby in 1 month, because there is series of necessary processes that has to be undergone and can't be accelerated.
I'm fairly certain the actual lead times to procure semi-custom chips are indeed in the range of a few months. And a fully custom chip is a few years.
AFAIK (but never studied the latest processes), making a mask takes weeks. That means that the minimum lead-time on making masks is weeks long, because there is no interdependence between them. But I'm sure this is one of the steps that add up to years on practice, because of production limitations.
Actually making the chips has a higher floor, because every step is interdependent. With a hundred steps, each one taking half a day, we are talking about 2 months here. There are probably more than a hundred, and a few take more than half a day (but many take less than it), so yeah, I'd easily expect a 4 months minimum. What doesn't compare to years at all.
Thinking about the design process, testing and revisions, all the way to fab and then market, we're probably talking years just to see a single design reach your test bench (I'm speculating). Oh and millions, because the major chip fabs only do things in large batches.
Compare this to software. It is, indeed, seconds in comparison.
I'd love for semiconductor fabrication to get fragmented out like it sounds like it will.