In general you want the weakest and most targeted antibiotic for the job. Most people will never need a Quinolone, and you should be skeptical whenever sophisticated antibiotics are prescribed. Why not Penicillin? should have an answer involving the name of a bacteria, not the doctor's personal preference, or a relationship with a company.
https://en.wikipedia.org/wiki/Quinolone_antibiotic#Cellular_...
At least in Germany eye doctors are very happy to prescribe them. It's "only" eye drops, but it is (for laymen) almost impossible to find information if they are also dangerous in this form.
This paper is focusing on ribosome inhibitors like tetracycline.
That's not to say there couldn't be some unrelated effect, but that's why we test medicine.
Different antibiotics target different cellular mechanisms depending on what the microorganism is. And almost none of them target the mitochondria at all.
Yes the common hypothesis is that mitochondria were originally a symbiotic separate organism that joined the cells that eventually became the origin of most complex life.
Remember that if that's what happened, it was over 3 billion years ago. After that immense amount of time, mitochondria aren't really separate organisms anymore. They're deeply entwined into every complex organism in the world. Very unlikely for common antibiotics to have any effect on them at all.