I'd say the aspirin is a red herring. I use to use aspirin all the time for aches and pains. I had tinnitus then. I quit taking aspirin for a period of about 12 - 15 years, I still had tinnitus. My cardiologist just put me back on low dose a year ago. I don't think my tinnitus is worse or better for it.
But who knows. Maybe it'll work for you. There is a belief that tinnitus can manifest from different things. It's sort of a general term for a symptom. Not that any one and only thing causes tinnitus.