head to head
Neither is meaningfully harder - they pose close to the same test. The widest gap is execution, and it is a single point.

Execution · Pure Mechanics
Precise jump execution across fixed levels with secrets to memorise.

Execution · Pure Mechanics
A rail-shooter score test of raw accuracy over fully memorised spawn patterns.
Super Mario World leans Execution (Pure Mechanics); The House of the Dead: Remake leans Execution (Pure Mechanics).
The House of the Dead: Remake leans a little harder on execution, though the gap is small.
Super Mario World
Perfect inputs trivialise every jump, spin and cape flight
The House of the Dead: Remake
An aimbot trivialises it - accuracy and reload timing are everything
Same score on reads - which means the number cannot separate them. The difference is in what each one asks of you.
Super Mario World
Scripted Koopas adapt to nothing
The House of the Dead: Remake
Zombies spawn on rails, never adapting
The House of the Dead: Remake leans a little harder on variance, though the gap is small.
Super Mario World
Levels are fixed; nothing hidden survives one playthrough
The House of the Dead: Remake
Branching paths and item spots are quickly mapped
The House of the Dead: Remake leans a little harder on optimization, though the gap is small.
Super Mario World
Secret exits and route knowledge add a modest solvable layer
The House of the Dead: Remake
Memorising spawn orders and routes defines high scores
A matching score does not mean a matching test. Two games can both sit at 10 on execution and demand completely different things of you - which is why the reasoning above matters more than the number beside it.