There are so many variables to this it's obnoxious. What do you define as loud? Are you using them in ANC? Is it regular Airpods or Airpods Pro? Do you notice tinnitus after using ear plugs for a while? When listening to music other ways?

I have tinnitus due to ear infections when I was younger. In my subjective experience, my AirPod Pro's have not changed it in any meaningful way. I use them enough that I have two pairs of APP so I can swap when the batteries die. Now I also have added AirPod Max when I don't want the "joys" of fully in ear. Only mention that because they have similar ANC.

The challenge with tinnitus is that it's highly subjective and can vary based on a lot of things. Just take a skim of https://www.mayoclinic.org/diseases-conditions/tinnitus/symp... -- There are 8 "Other causes" listed, with the last one being "including diabetes, thyroid problems, migraines, anemia, and autoimmune disorders such as rheumatoid arthritis and lupus have all been associated with tinnitus."

There are certainly days when my Tinnitus is worse, to the point where I have to have sound on to keep me mentally stable. Other days when I forget I even have it.

TLDR: If you have ringing in your ears that is bothering you, see a doctor.