Job titles are very dependent on where your work.
Some firms would call someone with an EIT "Engineer" while others would call them "Designer" (reserving the title of "Engineer" for licensed PE's).
Some companies reserve "Designer" for the CAD drafters. In some industries, the drafters will perform many aspects of the design by pulling values (i.e. highway curve radii, storm sewer sizes, structural member sizes) out of design tables. The engineer will then do parts of the design that require more involved calculations.
These have been my experiences with the roles.