I have tanks with gravel + laterite, gravel + laterite + peat, Flourite only, Flourite + peat, Flourite +peat under a gravel layer. They all have fines and eventually mulm - it is no bigger problem with one than the other for me, actually is trivial.
I don't see a big diffrence between any of the options except one, but it is a biggie. Flourite is forever. Gravel + laterite needs some rebuilding when doing extensive replantings, which is not earth-shattering or a major chore, but it is another chore. Flourite gets a bit of vacuuming (gravel gets that or a bit more careful vacuuming), and then gets replanted. That is a significant difference in the work required.
Most of my tanks are moderate light, low tech. In such tanks with Flourite I don't worry about iron, with laterite I do need some supplement. Minor, but it is a difference.
Historically my tanks are set for ~10-year life, then get complete breakdown and redo from bare tank. I'm not there with Flourite yet, but I may not do the decade renovation on those tanks. Flourite may really be indefinite use material.
I like my old natural gravel in appearance, but I like Flourite also. As much as I hate to retire my old gravel, I suspect that when renewal time comes up on most tanks, the reset will be Flourite.
All JMHO, and IME, YMMV.