Look at Apple’s own smartphone lineup. The Pro models with 120Hz screens get better battery life than the low end iPhone models.
You could make up for the difference in battery life with an almost undetectable amount of extra battery capacity from both a cost and size standpoint.
Do you think they couldn't add a refresh rate control to the device if you wanted to have lower battery? They already have variable refresh rate implemented, a much harder problem.
I remember the age of when Intel used to lock down hardware multipliers for overclocking behind the K versions, and GPUs did too. This is a well known practice, and Apple is not above it.