That is so umm.. random. I am not sure what to say about that. The fact that Jesus came as a radical to the Orthodoxy of what had become the Jewish faith, and THEY would have called that woman a dog, but she put her faith IN Jesus at that moment- anyway- because she knew him with her heart-has escaped you. That is so sad.
She was a dog, and her children were dogs to the Pharisees. Jesus was testing her there, and she passed the test and he blessed her for her ability in recognizing that he IS the cumming Messiah.
Going back to the context of the original discussion. To say that the impact of the life and death of Jesus can be compared to the family dog, is blaspheme of the Holy Spirit.
You really do not want to do that, I am sure.
'Do' what?
Take the words OUT of Jesus mouth?
That would be similar to putting words in there; am I not correct?