Looting III does not increase the number of items dropped. Prior to Trails and Tales, would get up to 6 leather or beef from cows/mooshrooms. Currently only getting a max of 4 (very rare). Tested by killing mooshrooms on a large island for an hour both with a Looting III enchanted diamond sword and a regular diamond sword. 1 hour each. There was no significant increase in either drop rate or amount of items dropped. Overall over 400 mooshrooms died during this test.
Version 1.20.11 Bedrock on Windows 10
Looting III does not increase the number of items dropped. Prior to Trails and Tales, would get up to 6 leather or beef from cows/mooshrooms. Currently only getting a max of 4 (very rare). Tested by killing mooshrooms on a large island for an hour both with a Looting III enchanted diamond sword and a regular diamond sword. 1 hour each. There was no significant increase in either drop rate or amount of items dropped. Overall over 400 mooshrooms died during this test.