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
Combined-arms multiplayer shooter famous for map-altering levolution moments and 64-player conquest.

Execution · Pure Mechanics
Trilogy capstone whose equal-start arena multiplayer defined a console generation.
Battlefield 4 leans Execution (Competitive PvP); Halo 3 leans Execution (Pure Mechanics).
Halo 3 leans a little harder on execution, though the gap is small.
Battlefield 4
Gunplay, vehicle mastery, and movement under fire
Halo 3
Precision aim and grenade-melee timing
Same score on reads - which means the number cannot separate them. The difference is in what each one asks of you.
Battlefield 4
Human teams adapt to flanks and levolution chokes
Halo 3
Equal-start fights reward predicting humans
Battlefield 4 leans a little harder on variance, though the gap is small.
Battlefield 4
Map-altering events and spawns inject noise
Halo 3
Equipment pickups and spawn variation
Same score on optimization - which means the number cannot separate them. The difference is in what each one asks of you.
Battlefield 4
Loadout tuning and objective rotation knowledge
Halo 3
Power-weapon timers and map control
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.