I think a few here are hanging on too tight with all this.As mentioned it's all about safety at the end of the day. Common sense seems to go out the window these days also.Humans will make mistakes despite the best chk list ever devised.Know yr POH.
When I was taught it was the usual checks as per what others have mentioned here,TMPFISCH, BUMPH Etc. Didn't do me any harm to use those basic checks (at times in modified form) for ALL the subsequent types I flew & that inc from C172 right up to LR35 & with many press twin jobs in between.
I flew freelance for years, jumping from one plane to another like women !

One day a PA44 next day PA42. I was my own boss so I needed to have it ingrained in my head to think on my own two feet outside the box many a time,over 30 yrs driving planes & am still here alive with no accidents
Do what YOU feel is correct,do whatever it takes to avoid a visit to the following places/people. CASA office, Undertaker, Bosses office for tea & bickies & getting up close & personal with the ground !!!
Wmk2
Wmk2
Wmk2