head to head
Cookie Clicker asks more than Baba Is You, and the gap is variance.

Optimization · Pure Optimization
A rule-rewriting puzzle game that is pure deterministic problem solving.

Optimization · Pure Optimization
The archetypal idle game where optimal purchase order is the entire skill.
Baba Is You leans Optimization (Pure Optimization); Cookie Clicker leans Optimization (Pure Optimization).
Same score on execution - which means the number cannot separate them. The difference is in what each one asks of you.
Baba Is You
No reflex or input precision involved.
Cookie Clicker
Clicking is optional past the early game
Same score on reads - which means the number cannot separate them. The difference is in what each one asks of you.
Baba Is You
No opponent; puzzles are static.
Cookie Clicker
No opponent
Cookie Clicker leans clearly harder on variance.
Baba Is You
Puzzles fully deterministic with no hidden information.
Cookie Clicker
Golden cookie timing randomness
Baba Is You leans a little harder on optimization, though the gap is small.
Baba Is You
Literally solvable — find the rule rewrite that wins.
Cookie Clicker
Purchase order and ascension math are the game
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.