There are old questions here from the 2012 era before MultiTouch became popular in both TouchScreens and TouchPads. Users tend to forget that using more than one finger is where the power comes in. One finger is mouse-like, using two or more fingers opens up many more gestures. Forgetting about TouchSreens for a moment and focusing on which provides more efficiency and empowers the user more, what wins, the mouse or a multiTouch TouchPad? Are their studies?
What is the criteria to decide more powerful? Touchpads with three-finger taps can perform the same functions as two-button mice with scroll wheels, which three-button trackballs can emulate. What "wins" is what's available. Desktops rarely have touchpads. Laptops usually don't come with mice. Only the faithful go out of their way to purchase trackballs and touchsticks.