The engineer gets it to work, the designer makes it look pretty and (optionally) be easy to use.
As a product designer I need to strongly oppose that!
Ease of use and looks are just two of the various parameters you need to look into as a designer. To tell you the truth, I am not happy with the term "designer" in general, because it is so fuzzy. Even if you ask two designers on what a designer does, you will be left with at least three valid, but different answers
There is inflationary use of the word in everyday speech also, what adds to the problem of clearly defining it.
My main job is to listen to everyone on the table in any project stage. The designer needs to be aware of everything that is connected to the product to be able to figure out the best way to get things going in the right direction. In order to truely be a link between the different departments the designer needs to have a deep understanding of what everyone does and is good at doing. Also it helps a lot if you can speak all the different languages. You need an understanding of how everything works from marketing and sales through part sourcing and all of the supply chain, engineering, manufacturing, after market and customer relations...
At one point you might be the one that needs to bring it all together in a product, so it is best you also technically understand what works and what does not. Of course you do not need to draw every part on your own, that is why you usually work together in a team with everyone on the table.
But then again there are a lot of different positions for a designer to work in. You might be an a technical engineer, an illustrator, a project manager, the guy with the weired ideas from r&d, the company's universal translator, an input buffer, or something totally different...
I hope you get my point