Piper is free to have and express his opinion about Arminians and exegesis, but it would be helpful if he would at least reveal which Arminian Bible scholars he has read and found wanting and why. Instead his response was merely dismissive and ought not to be taken very seriously—unless one takes whatever Piper says seriously just because Piper says it.
The concept of love (particularly how God loves) is a bit different on Calvinism. On Calvinism God loves the elect. Jesus died and rose again, for the few elect. This means that by definition, God as described by the consistent Calvinist is not omnibenevolent. Of course, a Calvinist could redefine the word “love” as it relates to God and claim that it is “loving” for God to allow those he loves to go to hell when they simply could not choose otherwise. In fact, this is the approach that many Calvinists take.
The question is NEVER “Does Christ receive sinners?” but “Do sinners receive Christ?” He opens His arms wide for sinners, but many sinners close their minds and hearts to Him. He would accept them, but they reject Him. That’s ok, right? I mean that’s their choice.
Speaking of the incarnation of Jesus, Martin Luther said that there were three miracles involved. “The first, that God became man; the second, that a virgin was a mother; and the third, that the heart of man should believe this.” Many hearts do not believe this. While we evangelical Christians are celebrating the entry of divinity into the world through the miracle of the virgin birth of Christ, the world is filled with those who object to this classic Christian doctrine.
You may think nothing you do will ever amount to anything for the Lord. You have no idea what God can do through you if you will commit your entire life to Him. Take the limitations off and the natural expectations down. Let God work and see what He is able to do. Lottie Moon is one of the greatest examples of what God can do as we surrender our lives to Him.