That level of accuracy would also be useful in candy making, a secret hobby of mine. The cheap thermometers tend to have that margin of error and are pretty terrible at showing just how uneven the heat in a pan can be but I am not sure ic that has more to do with the sensors sensitivity or the refreshing on the cheap LCD display they tend to put on them.
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.
This is commonly known as the IKEA effect.
This is very true but, tangentially, this is the opposite when you make drink/food for others. I found that you get the best effect when you spend a lot of effort to cook and perfect the dish but when asked, you have to pretend you basically winged it and it wasn't a hassle