From the link.
“Peter, an apostle of Jesus Christ, To those who are elect exiles of the Dispersion in Pontus, Galatia, Cappadocia, Asia, and Bithynia, according to the foreknowledge of God the Father, in the sanctification of the Spirit, for obedience to Jesus Christ and for sprinkling with his blood: May grace and peace be multiplied to you” (1 Peter 1:1-2 ESV).
Here the Father, the Spirit, and Jesus Christ are all mentioned together in the salutation.
This is bad rebuttal. None of the principles sends personal greetings to the churches as in the other letters, wherein the 'person' of the HS is conspicuously absent. They are mentioned here in another context altogether.