Is it permissible for a distributor to deliver a few cases of alcoholic product on a non-delivery day, for the purpose of merchandising offered to all accounts?

This service is not offered to all retailers.

No.  Distributors that are delivering on a non-delivery day for the purpose of merchandising are giving the retailer something of value.  If retailers are pressuring the distributor the ILCC will discuss the matter with the retailer.

Matt Tanaka

Matt Tanaka is a digital marketer who lives in Chicago with his beautiful wife Laura and their incredibly lazy French Bulldog, Bento. He is an experienced writer, obsessive planner and firm believer in the ability of digital tools to connect brands with their audiences.