https://www.google.com/search?q=hunt...w=1015&bih=685
it seems that the corner's in a hunter's star does form a lemoyne star... thus you always see the contrasting triangles in the hunter's star. but the lemoyne star seems to be the same star but can be placed on its own
https://www.google.com/search?q=lemo...w=1015&bih=685
and this is the link to EB's pattern
https://www.quiltinaday.com/shoponline/pattern/192047
it sure looks like the hunter's star pattern to me