Is there a way to disable wrapper-zips?

[TWiStErRob]

There's no need to cache wrappers (in case cache space could be an issue), because the gradlew download is near "instant":

Using the GHA runner caches instead of a custom cache is probably a good idea. This might not apply to all versions of the wrapper, or all GHA envs, but an option to choose which bundles to cache would be nice.

[tbroyer]

You can exclude the wrapper directory: https://github.com/gradle/gradle-build-action#gradle-user-home-cache-tuning

[TWiStErRob]

Ah, nice, thanks!