Turnover rate has to do with making sure all the water in the tank flows thru the biomedia enough times to remove ammonia, so that ammonia doesn't build up, and poison the fish.
Although flow rate and turnover are related, they are not exactly the same.
Fish like darters, trout, and the cichlid genera like Rheophillus and Tomocichla and some Geophaines, require high flow rates, and high oxygen content.
They have evolved to live in higher flow environments.
The flow rate they require can be achieved by adding powerheads that create that rapid flow, highly oxygenated environment, without increasing turnover rate.
As long as the turnover rate is sufficient to remove ammonia you are OK.
Air breathers like many Anabantids, and Bichirs that come from swamps, or more stagnant areas"usually" don't require the type flow rates powerheads provide, they come from more placid environments in nature.
But a turnover rate enough to remove ammonia is still desired. In nature the thick surrounding vegetation serves to remove nutrients in those areas.
Type of filtration is not important (cans, HOB, sumps) as long as it is sufficient to do the job for the stocking and size of tank, and the filters are cleaned enough to not allow them to become nitrate factories themselves..
Nitrate removal is another matter, because it is not removed by filtration, it is most efficiently removed by water changes.
Some "Air breathers" may have a higher tolerance for nitrate than rheophilles.
I use a 125 gal sump on my 180 gal tank, with a 1200 gph pump (turnover rate of 5 Xs), but because my fish are riverine, I add powerheads to simulate that stronger constant flow environment, and do 30-40% every other day water changes to simulate the undetectable nitrate levels in their natural environment.