I do commercial, educational and industrial structural work. For simple shear connections, my office shows the gravity service-level reaction at the connection on the drawings, and has the fabricator do a design and detailing for each connection. My office then checks the connection designs during the shop drawing phase. And yes, we really do check it.
Fabricators tend to each have their own favored setup when it comes to shear connections. Some like to use just bolts, others like to weld on one side and bolt on the other, etc. Its impossible to forecast which preference they will have during the design phase. Its no sin to let them design and fabricate connections in a way they are set up for, but of course make sure the connections work.
For welded moment connections, I will also indicate the maximum service level bending moment on the plan, provide a typical detail showing one way to do the connection, then review what the fabricator does during shop drawings.
This approach seems to work ok in this neck of the woods. It allows some flexibility but the Engineer still is doing his job. It also seems to save some time; beats detailing every single connection on the Construction Docs, if you ask me.
However, as mentioned in other posts, if you have a special situation or building, unusual loads, etc, it makes sense to do final details and designs up front. That way there is no confusion or argument about what is required or needed.