Well, I thought, it doesn't get any worse, I thought, and called them. Explained the situation, and guess what? They corrected the shipping price, turned out to be a misunderstanding.
All in all, I am probably going to order from a different retailer (those guys do have very high shipping prices on all items and that totally offset savings on unit price), but the rule of the thumb still stays true:
Sometimes, all you have to do is ask nicely.