Use media data processor methods internally

Since we have a new implementation for MediaDataFilter, we can call
methods from MediaDataProcessor instead of the legacy MediaDataManager.

Flag: ACONFIG media_controls_refactor DISABLED
Bug: 326281896
Test: Build.
Test: atest MediaDataFilterImplTest.
Change-Id: Ic06bb4db9dbd42bfe869177ddf40676a4d511b96