Answer: Depends on the bottle!
I measured my drawers (well, I double-checked them against IKEA's online measurements) and my bottles. I then did a little diagram in Illustrator by making shapes to scale of each bottle footprint.
Not every bottle per shape are exactly the same. They might deviate by a couple of millimetres but they were close enough for an accurate depiction. I tried to fit as many of each shape as possible into the drawer space. Here are the results.