I'm not sure I agree (nor strongly disagree!); there are plenty of times when being head down reading a checklist is not really appropriate; pre takeoff is about the only time I consult the printed checklist - having a mnemonic aid / mental checklist for vital actions seems sensible to me for whatever that's worth.
It also depends somewhat upon the aircraft, there is of course a balance to be struck; while there are obviously exceptions, most piston singles are pretty similar. I aim to keep the same 'check' for all of the types I fly; e.g. some have a secondary fuel pump, some do not. Some have wobbly props, some do not - accordingly 'pump' and 'pitch' are in the litany of things I check, where not applicable, it doesn't hurt does it?
I'm rather more strongly opinionated that these things should be 'vital' actions only, not of the 'socks, matching, underwear, clean' flavour of checklist.