head to head
Neither is simply harder - they are hard in different places. Call of Duty 3 demands more reads; DOOM (2016) demands more execution.

Execution · Pure Mechanics
WWII gunfight execution with light multiplayer prediction.

Execution · Pure Mechanics
Push-forward arena FPS where movement and aim are the whole game.
Call of Duty 3 leans Execution (Pure Mechanics); DOOM (2016) leans Execution (Pure Mechanics).
DOOM (2016) leans clearly harder on execution.
Call of Duty 3
Aimbot trivialises both campaign and multiplayer gunfights
DOOM (2016)
Aim, movement, glory-kill timing all peak.
Call of Duty 3 leans clearly harder on reads.
Call of Duty 3
Multiplayer adds modest human positional prediction
DOOM (2016)
Demons scripted attack patterns.
Call of Duty 3 leans a little harder on variance, though the gap is small.
Call of Duty 3
Scripted setpieces and spawn flow add minor unknowns
DOOM (2016)
Minimal encounter randomness.
DOOM (2016) leans clearly harder on optimization.
Call of Duty 3
Map knowledge and weapon choice reward light study
DOOM (2016)
Rune and weapon mod picks meaningful.
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.