Is this a bad tile job?
Your instinct is correct:  this is a terrible job.  As Mongo says, have them redo it.  Also, you will never be able to keep it clean with the super deep and rough grout lines.
Im curious if this is similar quality to the rest of the job, or limited to the backsplash area?  Those tiny tile are hard to use, unless the pattern is attached to webbing first. (This looks like a custom pattern)