I'm having the same issue. I'm using the endpoint '/api/v2/voicemail/search' filtering by those same fields but groupId is not working either. Any help would be much appreciated.
I see in your example you are using owner with a value of ALL, this will search voicemails that have an owner of user and group. If you only want to find GROUP voicemails you can change the value to GROUP.
Possible values for owner field are: [ALL, GROUP, USER]