That's a common misconception. Neither the LM393 & LM339 nor the LM358 & LM324 have a Darlington input stage. They both have a normal PNP input stage, followed by an emitter follower on each input. This is an important subtle difference. Using a Darlington pair differential amplifier would result in lower transconductance, poorer bandwidth and stability, than an ordinary differential pair & emitter followers.
You are right about that; even I did not look closely enough.
But it is funny that you say "result in lower transconductance" when that is exactly what the LM324 design is most obscurely famous for although simplified schematics do not show it. The article written by the LM324 designers in 1972 is locked away behind a paywall and unavailable however
National Semiconductor application note A discusses exactly what is going on and the On Semiconductor schematic below shows both the differential pair configuration which deliberately reduces transconductance without emitter degeneration and the fixed 50 microamp current sink on the output.
I assume the LM393 and LM339 comparators lack transconductance reduction and the ON Semiconductor schematic shows this. Fairchild made a quad comparator equivalent to the LM339 and its schematic also shows a lack of transconductance reduction.
The thing which puzzled me about the LM324/LM358 is that Fairchild's version was much better including a class-AB output stage and a single version with offset nulling but they did not last. I wonder if that was caused by a patent issue.
I didn't know about Fairchild's version having a class AB stage.
The Fairchild improved parts were the single uA799, dual uA798, and quad uA3303/uA3403/uA3503. Later Fairchild second sourced the LM324 and LM358 under the National Semiconductor part numbers.
They look more complicated than the simplified LM324 and LM358 schematics because like the On Semiconductor schematic, the Fairchild schematics show the current mirrors, transconductance reduction, and bias circuit. What they do not show is a 50 microamp current mirror pulling the output down to the negative supply but the datasheets say the output goes down to the negative supply. Maybe it got left out of the schematics.