Your bike has a perforated ABS tone wheel, which means it's a 2008 or later model. That year, Honda changed the design of the water pump cover to add a fitting with a hose attached that carries anything that gets past the seal outside of the bike and to the ground. So unless they're looking into the fitting with a borescope, what they think they're looking at isn't the inspection hole. With the hose in place, it would be impossible for coolant leaking out of what was the weep hole to get on the bottom of the oil pan and fairing.
In the shop doesn't cut it, especially if it's climate-controlled. The bike needs to get good and cold and stay that way for awhile. You said this problem started in the fall before you put the bike away for the winter. I have news for you: once the temperatures are above 10?C most of the time, it's going to stop leaking. You're in for an enjoyable, leak-free summer. And it'll start up again next fall when the temperatures drop. Pull the bike out in January, start it up and it'll leak like a sieve.
Go back to what you said in post #8: "Well, I started her up for a ride, and this is what I found while she was still warming up. Not even reached three bars." The behavior, the amount of leakage and the location are classic clamp leakage. No kidding, it's exactly what I used to see first thing in the morning before I replaced the clamps. The only difference between your pictures and mine is that my bike's faster because it's blue. And it doesn't leak anymore.
I'll bet you a $20 donation to the site that it isn't your water pump.
--Mark