To follow up on your original question, the trust of the profile has nothing to do with the Onboard CA. The Onboard CA issues the client certificates and does not need to be trusted by the client, just by ClearPass.
Also, you won't be able to request a publicly trusted intermediate CA certificate with any Certificate authority as that would effectively allow you to generate any number of https certificates that would be trusted by any browser. People would love to have such an intermediate for intercepting SSL connections, but that would break the whole SSL trust model as only trusted CAs should be able to generate trusted certificates.
As Tim mentioned, you are probably looking at uploading a Profile signing certificate rather than an intermediate Onboard CA.
This can be configured in Onboard » Deployment and Provisioning » Provisioning Settings