The hormone in a Mirena is only intra-uterine, not system wide. For women who are confined to bed for 3 days a month, it might be worth looking into. Your other claims have even less merit, but of course, it’s your choice to inform yourself or not.
I did not make that up; what I wrote was pulled directly from the manufacturer’s warnings to prescribers. If you have a Mirena IUD, you must have seen this information in the course of signing the required informed consent.