head to head
Quake III Arena asks more than DOOM (2016), and the gap is reads.

Execution · Pure Mechanics
Push-forward arena FPS where movement and aim are the whole game.

Execution · Pure Mechanics
Pure aim and movement skill tested against adaptive human opponents competing for spawn-cycle dominance.
DOOM (2016) leans Execution (Pure Mechanics); Quake III Arena leans Execution (Pure Mechanics).
Quake III Arena leans a little harder on execution, though the gap is small.
DOOM (2016)
Aim, movement, glory-kill timing all peak.
Quake III Arena
Rail and rocket aim at speed is the entire game
Quake III Arena leans clearly harder on reads.
DOOM (2016)
Demons scripted attack patterns.
Quake III Arena
Human opponents adapt their routes and timings in direct response
Quake III Arena leans a little harder on variance, though the gap is small.
DOOM (2016)
Minimal encounter randomness.
Quake III Arena
Spawn locations have mild randomness but are quickly mapped
Same score on optimization - which means the number cannot separate them. The difference is in what each one asks of you.
DOOM (2016)
Rune and weapon mod picks meaningful.
Quake III Arena
Armor and weapon timing routes are learnable and highly leveraged
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.