Connection 

Lastly, from what you see on the design, do you think the design resonates with any group of people? If a design does not connect to people, then it is impossible to achieve any of its goals.

A great design connects with its audience once they see it. If you think it is not connecting, give your reasons and possible ways it can be reworked.  

Bottom line 

If you are going to give a creative design criticism, then you must try as much as possible to view designs with an objective eye. Don't take the designs too personally.

For instance, some people do not like a certain color, and they would avoid it at any slightest opportunity, but that doesn't mean designs can't be great in such color. Also, if you have any personal issues with the designer, don't take it out on the design.  

Giving creative design criticism is all about being truthful and objective. Just say what you see, your thoughts, and how you think it can be improved with objective reasons. Every designer wants honest feedback that can help see things clearly, maintain focus and achieve the design objectives for your amazing company logo design.