mm wrote:
snip
I think so too.

I have a hood without a vent, but the electrician who wired these town
houses and also lived in one for many years put a vent in his house.
One could see the exit above his front sliding glass door.

The seller told me how expensive the replaceable charcoal filters are,
and they are, so I don't buy a replacement. The "spun" metal grill
can easily be washed in he dishwasher though. But I don't fry and
only broil, and don't use the fan much anyhow. So it doesn't get
dirty. I don't like the noise (either high or low speed), but maybe
newer ones are quieter.

The recirculating hoods that I have run into have all been pretty noisy
and don't strike me as particularly effective. I don't do a lot of
greasy frying but when I boil a pot of water and observe the "steam"
there does not seem to be sufficient air flow to have much effect more
than a few inches from the metal grill.

Of course these have all been cheap apartment or non-upgraded builder
units, so I am sure better performance can be had. I would think
though that if the OP is looking to ceiling mount a hood it would have
to have a LOT of suction to have any effect at cooktop level.