Updating the self-declared company name in your CCO profile isn't the same thing as having the DA of the new company validating your user-company association. To be onboarded to the new company for SNTC, the DA of the new company has to do that.
You can use the SNTC self-service registration function to onboard. Because the new company already has a DA, as you go through that process you will eventually be told that the existing DA has been notified (via email) of your request.
You could perhaps also try by request company association via this URL: https://rpfa.cloudapps.cisco.com/rpfa/profile/requestorupdate_association.do? ; This should result in the DA receiving both an email and seeing your request in his Pending User-Company Association queue. Note, however, that doing it this way does not carry any context of your request as being related to SNTC, but rather just a general user-company association. You would then need to separately communicate with the DA to request SNTC role assignment.
