There is so much information - how do you find what you need?
With the references listed in Tom Phillips "Kitchen Ventilation Resources" discussion, you can become educated quite quickly.
If you are a consumer, or you want a general introduction to range hood types and performance, the Consumer Reports article is a good place to start. https://www.consumerreports.org/cro/range-hoods/buying-guide/index.htm
Another good introduction is the ROCIS Kitchen Range Hood document: http://rocis.org/kitchen-range-hoods This document is backed up with supplementary information on many topics including ways to reduce cooking emissions and vented range hood installation guidance.
If you already have a good knowledge of the equipment and venting systems available, then you should browse Brett Singer's presentation here: https://www.arb.ca.gov/research/seminars/singer2/singer2.pdf These 78 slides cover everything you need to know about the LBNL range hood research. Lots of information - lots of graphs, but you will emerge more knowledgeable.
There is one missing piece of data on range hoods - the "capture efficiency". When you are using the range hood, what proportion of the stove and cooking emissions is being exhausted? The tests for this range hood attribute are being developed. Until they are complete and range hoods have been tested to the protocol, the capture efficiency of any range hood will have to be estimated.
Has anyone installed a range hood in an older home with the ducting down to the basement and out near grade? It seems to me that this might be an easier installation particularly with an unfinished basement.