This is the name of a prominent street in the city I was born in, sometimes I think of it as an honouring name for that reason. The street is always "LEE-la" so that's how I'd say it. I think chances are pretty good that a
Leila would get multiple pronunciations, yes.
I don't like
Layla.
If you want LIE-la I'd say go for
Lila, which is also beautiful and more straightforward.