These are very nice ponts SSU. But I slightly disagree with a couple of them. First some of my corys have been doing great in a tank with 20x flow. Second, despite what maybe written about Hamburger Mattenfilters, for external filters that's not exactly applicable because the limitation to filtration is oxygen. If not enough is reaching the media fast enough, then it won't be fully functional and you can only get that via enough flow. Ammonia and nitrite are abundant in a tank but that bacteria needs oxygen to break each one of them. Hamburger mattenfilters are normally in tank filters where they've got immediate access to oxygenated water unlike externals which rely on enough oxygenated water reaching them via flow rate.
Also a filter is populated with many types of bacteria, some solely decomposing the dead organics/bacteria too. Also a tank can have micro-organisms that prey on the filter bacteria which is actually at the bottom of the food chain. So many processes are involved. Clogged filter means reduced flow, leading to anaerobic pockets in the media, which in itself means no oxygen. That's where the problem lies because with no oxygen ammonia to nitrite to nitrate conversion ceases. We flush debris and mulm and whatever else dying in there so flow can reach those areas too bringing more oxygen. Also the decomposition process of dead stuff/organics is highly oxygen demanding, therefore again we eliminate that/reduce the themand for oxygen by throwing out the organics from the tank and filter via cleaning, so the good filter bacteria has a better chance of receiving/competing for oxygen.
And of course, because of that the bigger the filter/the more filters, the less chance they can get de-oxygenated due to debris, lack of flow when not cleaned on time, etc..
And dead spots in the tank are as important. It's like passing through a toxic cloud. It can't be healthy for the fish and promotes all types of harmful organisms to flourish.