[Exim] local_domains

Can someone check my thinking on this?

I have the following local_domains line in my configure file. This is the
only line that has been changed.

local_domains = *.kulish.com:\
                kulish.com

With the above line emails addressed like:
noc@???
noc@???
noc@???

All the above emails should be delivered to the local user noc. Is this
correct?

And if my thinking is correct, why would the only one of the above that is
delivered locally be noc@??? (which is the correct FQDN)?

Thanks!
CK