Menstrual blood definitely isn't the cause of global warming, or other LNT items, but I would say please do your best to pack everything out as a rule. And with rules there are exceptions too.
Something I also think is that as a white person I especially feel a great responsibility to LNT. I have the priviledge to get out--and often--on land that truly belongs to indigenous peoples and like to consider that while I am out.
All this said I am a bit annoyed with men coming on the thread for whatever reason to give input about how people with ovaries should deal with their waste. It is not something we need to be educated on.