Water drops will dry without leaving a stain, so you mostly need to worry about oil based droplets leaving stains and residue. My suggestion would be to rub your bag all over with your hands to get the velvety nap laying flat. To me, the leather feels less fragile and absorbent when it's loses the brand new velvety nap. Plus, you get the patina/darkening started just from contact with your skin.
Even when you get a nice patina, though, oily drops will still leave a stain, and while it's less noticeable on the darker leather, it happens just as easily. I try not to get a major oily splatter on my bag, but otherwise, I use it as I would with any other leather. The dark areas from small droplets and stains sort of give my bag a three dimensional, rugged look rather than a flat solid color as with Togo or Clemence. But you have to like that look to like Barenia. I say use your beautiful new bag, and when it gets too stained for your liking, send it to Hermes for a good cleaning. They will remove most, if not all, of the stains.