I've never seen or heard of a drum trap being used in a kitchen. I've only seen them being used for a tub which is a floor mounted fixture and why a drum trap was used to make cleaning the trap accessible at the floor... and there is a good reason why we don't use them anymore, they get gunked up quickly, which would be a good enough reason not to use them in a kitchen.. Grease would build up almost instantly.
Kitchen sinks should have traps under the sink inside of a cabinet typically and that trap would need a vent take off at that trap elevation. The drum trap would have a vent so I would imagine it would be accessible. Sinks also are required to have a 2" drain and most drum traps were 1.5", so that drain would also be undersized.