I'm not a doc, but remember that Hash's isn't the same as regular hypo/underactive/low thyroid. It's an autoimmune disorder, so there are antibodies involved rather than just thyroid level issues like many people have. I've read about consequences from untreated Hashimoto's disease, such as myxedema coma, so I'm all for being treated, also given that I and my mom both have thyroid problems going back some time. If things clear up, so be it, but I'm young and don't feel like playing thyroid roulette.
My mom was on thyroid replacement for 18 years, and then went into a normal range, she's remained normal and off meds for the last 28. Unfortunately I didnt inherit that.