head to head
Quake III Arena asks more than Half-Life 2, and the gap is reads.

Execution · Pure Mechanics
Landmark FPS built on physics puzzles and tight gunplay.

Execution · Pure Mechanics
Pure aim and movement skill tested against adaptive human opponents competing for spawn-cycle dominance.
Half-Life 2 leans Execution (Pure Mechanics); Quake III Arena leans Execution (Pure Mechanics).
Quake III Arena leans clearly harder on execution.
Half-Life 2
Gravity gun and shooting demand precision.
Quake III Arena
Rail and rocket aim at speed is the entire game
Quake III Arena leans clearly harder on reads.
Half-Life 2
Combine AI scripted, non-adaptive.
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.
Half-Life 2
Almost no randomness.
Quake III Arena
Spawn locations have mild randomness but are quickly mapped
Quake III Arena leans clearly harder on optimization.
Half-Life 2
Linear progression with no builds.
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.