This is the association theory of every relation between Shakespeare and Bacon. That their expertise has gone to their fingertips and out of being on the very tip of professions, they've drawn on other concepts from other careers to explain their successes in their own careers! Thus, Shakespeare becomes the artist and (then) the scientist and Bacon becomes the scientist and (then) the artist. Artistry in science as description of career and approach is nothing new to us, in 2011, as Pierre Duhem has explained science as requiring artistry for it to succeed, I think!
I think further that it's plausible that these two people have known of one another and (deeply or not) respected the work of the other (perhaps also while making general considerations, independently of other people, only immersed in what they've been requiring out of their sheer work effort! They may have glanced at each other, still, though!