I do think ML practitioners in general align with the "iteration" category in my characterization, though you could joke that that miscategorizes people who just use (boosted trees|transformers) for everything.
[0] https://projecteuclid.org/journals/statistical-science/volum...
I don't think that is so niche. Murphy's vol II, a mainstream book, starts with this quote:
"Intelligence is not just about pattern recognition and function approximation. It’s about modeling the world." — Josh Tenenbaum, NeurIPS 2021.
Goodman & Tenenbaum have written e.g. https://probmods.org, which is very much about modeling data-generating processes.
The same can be said about large parts of Murphy's book, Lee & Wagenmakers or Lunn et al. (the BUGS book).