It makes sense to me. The food processor creates a very strong dough. 10-20 seconds too long in the FP and you can actually over build the gluten strength. You probably didn't time your mix times with your lower hydration doughs and likely have been stopping the mix after certain visual and physical dough characteristics achieved, like smooth soft appearance. It's hard to time mix times in the FP. I typically mix until the dough comes together and then use the pulse function and count off how many times I pulse the dough, or how many revolutions the dough makes. Either way, if you could time the two doughs, it's likely that you are mixing quite a bit more with this new dough. It doesn't seem that way b/c the FP, builds strength very quickly in a span of just seconds rather than minutes in a standard mixer.
Also it's good that you stopped the FP once the dough is smooth and still floppy. You don't want a tight dough coming out of the FP. It would be a good indication that the dough was overmixed. This overmixed dough won't stick either, but won't necessarily produce good results either.
The non stickiness is purely a function of the dough strength and not the oil. The oil actually works against building gluten strength to some extent.
As a fun experiment, you can repeat this same dough but without the oil. Mix it in the FP the same way or even mix it a bit longer just to see. Now bake up the crust without cheese, since you won't be eating much of this pie. The resulting crust you will get will be crunchy on the outside, but tough, somewhat dry, & unpleasantly chewy on the inside. An example of over gluten development.