The description “Producer” seems to be thrown around pretty loosely these days. So let me try to help you with what a Producer really should be:
A true show producer is a right-hand man (or woman), an extra set of hands and feet, and a resource in finding material, in addition to the right “framing” for something (music, sound bites, etc.).
A great Producer should have superior Production skills, too.
And you want a Producer to be a source of feedback, so a Talent has someone he or she can count on to weigh in on whether something is a good “fit” for the show, or in some instances, will even work at all.