I'm not sure about you, but I prefer the amount of solvent in my food and drink to be "none", rather than "negligible".
The fact that perfection is impossible to reach shouldn't make us abandon and do nothing about it.
The most commonly used solvent is water. Ethanol is also a major one: https://www.worldofmolecules.com/solvents/
Or do we need to restart that program to ban all use of the horrible dihydrogen oxide solvent that pollutes over 70% of the surface of the world? ;)
Caffeine LD50: 150-200 mg/kg (according to Wikipedia).
Maximum allowed amount of methylene chloride in beverages, the dreadful paint thinner, according to the link above: 10 ppm, or about 2 mg per cup.
Methylene chloride LD50: 1.25 g/kg (again, according to Wikipedia).
I.e., you will literally die of caffeine poisoning long before the paint thinner gets you.