Super Mario = Mass marketing = a lot of casual gamers with opinions too.
Here on EAB you also find gamer with a deep computer/console background, they played the classics since the late 70s/early 80s and have preferences.
The most computer games were designed for are Joystick control and worked fine at that time. I'm a fan of "button jumping" games too, no doubt. A pad suits Super Mario perfectly , but NOT a Lionheart or a Turrican. The programmer prefered a joystick control and indeed a pad isn't suitable here.
There is no real truth. Eat it or not.