So your question is: why do we program / model the level of the first level instead of the propositional level? Just because it is more concise.
You can make suggestions like "All people can think." with first-order language and no need to argue that Alice might think. Bob might think. Carol might think ... "
If you look at some of the problems of planning PDDL from the IPC, sometimes there are terrestrial versions that are formulated at the propositional level. And the files are much larger. You do not want to write them manually.
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