It's not clear they even tested to see if it worked at all, they just assumed it would based on the main ingredient and moved on.
There are cases where the solvent will react with the antibiotic, and there are corner cases of weird interactions. Some can be predicted from general chemical rules, but some are unexpected.
So instead of mixing random stuff and following advice of morons like me in the internet, it's better to ask a real medical doctor and a pharmacologist, and make some animal and clinical trial anyway.