The checks are generic but work for most aircraft. If you move between types then you do need to have common checks and actually
think about what the checks mean.
Fuel - sure the engine is turning so you've got fuel... but are you on the fullest tank, is the fuel pump on/off, is the primer locked or has it vibrated free?
Flap - sure you're flap selector is set, but have you checked out the window to see if the picture out the window agrees with your setting?
Undercarriage - well I guess the guy in this video also flies a 172 and is used to just brushing over the undercarriage check.