The well-meant offer [WMO] notion, in my opinion, is not a faithful representation of the Bible; it is a bastardization of the Reformed faith. Here are several reasons why Christians should reject this deformed position that is popularly held by crypto-Arminians [Moderate Calvinists].
The WMO is contradictory because it teaches that God decreed the reprobate for perdition, but still desires to save them.
The WMO impugns the righteous character of God by arguing that He loves workers of iniquity, while the Bible teaches that God’s eyes are too pure to behold evil that He cannot “look on iniquity” (Hab. 1:13).
The WMO is denigrating to God’s immutability because it teaches that Yahweh has a loving disposition for the reprobate in this life, but has an unremitting hatred for them in Hell.
The WMO is an attack on the doctrine of simplicity because it teaches that God has two wills—a will of decree and a will of desire—which are both in opposition to each other. Therefore, based on the WMO notion, God is not sovereign; He is schizophrenic.
The WMO is not reformed theology; it is deformed thinking. Historically, WMO teachers have twisted doctrines like grace and love and applied them to reprobates. However, the Bible teaches that God’s grace and love are reserved exclusively for the elect. The WMO teaches that God loves everyone, but the Bible teaches that God hates the wicked (Ps. 5:5).
WMO teachers say that God provides a non-salvific type of common grace and love to reprobates, but they cannot explicitly show where the words “grace” or “love” in the Bible is applied to reprobates. That’s because anytime God’s grace and love are mentioned in Scripture, they are always characterized as being salvific, eternal and immutable.
WMO theoreticians will slavishly argue that Matt. 5:45 ("sun rise on the evil and on the good, and sends rain on the just and on the unjust") is proof that God provides a non-salvific type of love and grace to even reprobates. But Matt. 5:45 doesn’t even mention God’s “grace” or “love,” nor does it mention anything about God desiring to save reprobates.
Therefore, WMO proponents will do exactly what unbelievers do when they are confronted about the truth. Unbelievers will refer to Bible-believers as “hyper-fundamentalists” for not compromising on the Bible, while crypto-Arminians will decry Christians as “hyper-Calvinists” for not agreeing with their well meant offer, deformed thinking.
In closing, the Bible does not teach that God is sincerely offering salvation to reprobates. However, the Bible makes it patently clear that Christians must indiscriminately preach the true gospel of Jesus Christ to all men without exception. The preaching of the cross is the power of God to the elect, but to the non-elect, it is foolishness. Don't take my word on it.
For the preaching of the cross is to them that perish foolishness; but unto us which are saved it is the power of God (1 Cor. 1:18).