This might seem like a completely bogus comment, but I'll back it up with personal experience. There were several days over this winter where my mountain bike proved its durability to me, allowing me to get around when and where a car wouldn't be practical.

You're right, though. Bike parking is inexpensive to add, bike commuters are investing in their health and they're more alert and energetic when they arrive. Ideally, showers and lockers should also be provided but I'd believe a hospital probably already has this stuff. Bike commuters are going to usually be more reliable, not just due to being healthier, but also because bicycle commute times are usually much more predictable than traffic (and sometimes, FASTER than driving during rush hour!)

Of course, being bike friendly alone won't always convert people to using their bikes. That's a different problem, though.