Out of curiosity and to be clear what you are saying here, are you implying that Jesus did not actually meant what he said in Matthew 15:24, but rather he was just "agreeing with the sentiment expressed by the disciples to get her reaction", so as to test her faith?
I would say that Jesus was presenting a teaching moment to His disciples--that salvation was for all by faith rather than by inheritance. Yes, he was posing an agreement with the sentiment expressed by the disciples, setting them up for a lesson that the truth was other than they supposed.
This wasn't the only time He did that. He did that as well with the story of Lazarus and the rich man. In that, Jesus sets up a situation in which His listeners would surely conclude that the rich man--obviously blessed for his righteousness, and the poor man obviously cursed for his unrighteousness--and then reversed their expectations with the truth that actually the rich man was cursed and the poor man blessed.
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