There is no better. You have to decide for yourself what is more important. Odors can also be effectively filtered with a good recirculation hood.
there is indeed an evident difference (and thus an
better):
If the recirculation system is part of an integrated ventilation system with waste heat recovery,
this can lead to problems.
Cooking fumes often contain, in addition to water, a higher proportion of fat aerosols.
These can settle in the cooler exhaust air heat exchanger and gradually
gunk it up and render it ineffective. So often disassemble, clean in surfactant bath and change filters.
Quite an unpleasant procedure!
The answer therefore depends on the usage scenario.