Third party SIP phones are not supported with the CUCM ad hoc conferencing mechanism (which is based on non-RFC standard SIP protocol extensions and behaviours).
The only type of conferencing that would be able to work would be RFC SIP standard conferencing, which is managed (including audio mixing) onboard the phone itself - in which case CUCM is not aware of the conference, and there are no interactions with the CUCM ad hoc conferencing feature.