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 · Competitive PvP
Large-scale combined-arms shooter with aim-heavy gunplay.

Execution · Pure Mechanics
Pure aim and movement skill tested against adaptive human opponents competing for spawn-cycle dominance.
Battlefield 2042 leans Execution (Competitive PvP); Quake III Arena leans Execution (Pure Mechanics).
Quake III Arena leans a little harder on execution, though the gap is small.
Battlefield 2042
Recoil control and aim across long sightlines
Quake III Arena
Rail and rocket aim at speed is the entire game
Same score on reads - which means the number cannot separate them. The difference is in what each one asks of you.
Battlefield 2042
Vehicle and squad PvP rewards prediction
Quake III Arena
Human opponents adapt their routes and timings in direct response
Battlefield 2042 leans a little harder on variance, though the gap is small.
Battlefield 2042
Chaotic 128-player skirmishes add noise
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.
Battlefield 2042
Loadouts, specialists, vehicle synergies matter
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.