I can't give you a scientific answer but having used both, I might be able to help.
They are both synthetic progestins/progestogens but quite different. Norethisterone is a very strong progestin and is used on its own and in some combined oral HRT preparations. It certainly does its stuff but it is very strong and many women, like myself, are severely intolerant to it to such an extent, they cannot use it at all.
Levonorgestrel, the progestin in the Mirena coil, is far more easy to tolerate for most women and many get on very well with it. The benefit is that when used in the coil, most of it stays in the womb but not all of it so again, those who are severely intolerant to all forms of synthetic progestins like me, cannot use it. I believe levonorgestrel is also used in some oral HRT preparations.
I wish someone could invent a Mirena type coil that never travels beyond the confines of the womb then women like me could use it!