to be fair its the burrs on the gears. if you deburr the gears properly before install it installs much easier as the chain isnt super damn tight. about 3/16ths play.
brand new chain on 15k gears gave me nearly 3/8ths play.
stock chain without tensioner ive measured as far as 3/4" the stock chain wears the powdered metal gears real quick, so even a new chain on used oem sprockets (about 70k) still had nearly 1/2" play
dont worry about it till that chain can move 3/4"