My company does both of these (we're in tech), and I can authoritatively tell you that in the overwhelming majority of engagements this is a distinction without a difference. Over the past five years I haven't had a single client who just had me "tell them what to do". Typically, if we're being brought in, the expectation is that we will not only identify what needs to be done to solve the problem, but that we will also do it ourselves.