We don't see the moon same way in south hemisphere than in north hemisphere, and equator is different too
South hemisphere should be like that for all phases:
North hemisphere should be the inverse
And equator should be like:
Where i live, moon almost look like a "smile" at first quarters, a mix between equator and south hemisphere.
I'm quite sure all those moon phases around the world can't be done in SH, but maybe something close
