Getting tinnitus that was is just a function of how much sound there is in your ears. So headphones with loud rock music can cause issues, headphones on quiet less so and can block external noise, as can a blob of wax or whatever.
You don't really need fancy noise cancelling for tinnitus prevention, just some form of bung in your ear.
This is especially in question, to me, with the numerous reports of people getting tinnitus while wearing the airpods with noise cancellation on.