I don't know if this helps the OP at all, but I always found it odd that, when it comes to things like toothpaste, antibiotic ointment, Ben Gay topical pain-relieving gel, the TSA ignores its own "volume" of liquid rules. In the U.S., those items are sold -- and labeled -- by weight, not volume, and TSA looks at the item's labeled weight to determine if it is compliant. How 3.4 avoirdupois ounces (or 100 milligrams) of those items compares to 3.4 fluid ounces (or 100 milliliters) is something that a chemist can weigh in on (pun intended), but I imagine that there can be quite a variance, depending on the density of the substance in question.

It seems to me that the TSA should adopt a weight rule for carry-on "liquids" that are sold and labeled by weight, rather than by volume.