Well, then, that would be one of the factors we would definitely consider: consent. Because what you are speaking about could be based on consent. For example, there's NEXUS, where you actually pay and you give your consent to have some private information given for the privilege, as you say, to go faster. That certainly would attenuate the privacy invasion.
However, I would think that if such a program were to be put in place, it would be subject to Treasury Board Secretariat's policy for a privacy impact assessment.