The answer to the first part of this question is yes. The answer to the second question is also yes. The question not asked here is the question of the relationship of the patron to the artist and how does that affect what's produced.
Patronage is linked to artistic taste.
One supports what one likes artistically. With the market place, it is mercurial and supports a wide range of aesthetics, yet does not have a significant role in supporting the incubation of artistic ideas. What one needs to be understood here is the value of all these forms of patronage and not allow one system to dominate. In my mind, the best corporate support programs represent a fit between an arts institution's needs and a corporation's objectives. We would never ask an art group to alter its artistic format or content.