No, you're lucky to have low T3. I make huge amounts of RT3 and it slows down my metabolism.

I've never heard you need to taper off thyroid meds. Are you talking about tapering off the T3 or T4? T3 leaves your system relatively quickly, but T4 has a half-life of 4 weeks. So in 4 weeks, you'll be 50% lower. 8 weeks should clear it all out. T3 is just a few days.