It's not about the band being too stiff. To hook that lug through two holes it would have to split into two pieces that snap back together. Otherwise you're left trying to twist the curve on the end of the lug through the hole.I haven’t seen ocean band in person, but it looks like it might be too stiff to thread it over the narrow bend and onto the other side of the clip.
If someone were truly worried about the Ocean band coming undone they could thread something else through the holes of the two band layers and tie it off, like twine or a twist-tie.