I've only seen non-bisexuals say that "bisexuals are not attracted to enbies." I've never heard of a bisexual not being attracted to enbies, tbh.
Bi, pan, poly, & omni are all very similar labels. Most people who use one of those labels can use another label if they choose to do so. But they don't, because they want to use the one they are using now. It depends on what they want to call themselves.