Yup, no UA credit. However, OP should get at least RDM when crediting to CO account. Don't let them tell you that it's ineligible for even the RDM because you didn't credit the entire flight to CO. There is no such rule as far as I can tell. The OP agent tried to pull that on me once and when I asked for a hard copy of the rule, he decided to credit my CO account as a "courtesy".
LAX