That's correct. The respiratory issues with COVID-19 are are caused by a virus. Azithromycin is kinda sorta a ramped up Amoxicillin, and both are for upper body bacterial infections.
Al take a look at this story....it's interesting.
"A new study whose results were published in the International Journal of Antimicrobial Agents has found early evidence that the combination of hydroxychloroquine, a popular anti-malaria drug known under the trade name Plaqenuil, and antibiotic azithromycin (aka Zithromax or Azithrocin) could be especially effective in treating the COVID-19 coronavirus and reducing the duration of the virus in patients"