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

Execution · Practiced Mastery
Memorising spawn patterns then executing them flawlessly under one-hit-death rules.

Execution · Pure Mechanics
A rail-shooter score test of raw accuracy over fully memorised spawn patterns.
Super Contra leans Execution (Practiced Mastery); The House of the Dead: Remake leans Execution (Pure Mechanics).
Same score on execution - which means the number cannot separate them. The difference is in what each one asks of you.
Super Contra
One-hit deaths demand precise dodging and constant accurate fire
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 Contra
Alien waves follow fixed spawn scripts
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 Contra
Nothing random once spawn patterns are memorised
The House of the Dead: Remake
Branching paths and item spots are quickly mapped
Super Contra leans a little harder on optimization, though the gap is small.
Super Contra
Memorising spawns and weapon routes is half the run
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.