It doesn’t make sense to me.
Lei is pronounced lay. It also looks like
Leia, which is so culturally ingrained as being pronounced lay-uh because of
Star Wars.
I would pronounce these as LY-la:
Lila,
Lilah,
Lyla,
Lylah
I would pronounce these as LAY-la:
Layla,
Leila,
Laila