> Heck, you need more accuracy than that for a proper cup of tea or coffee.
No, 2 degrees C is about the right accuracy you need for a "proper" cup of tea or coffee. You'll lose that much heat in the transfer from kettle to cup. Inaccuracy of 5 degrees C in brewing will be indistinguishable for most people.
Precision also has a placebo effect. Coffee or tea will taste better to you if you put a lot of work into it.