What is the authenticity of the Hadith mentioned in the question, and what is the refutation against those who use it to support falsehood?

Abu Dawud and Al-Nasa’i narrated the Hadith of Ibn Abbas that a man came to the Prophet, peace be upon him, and said: “I have a wife who is among the dearest of people to me, yet she does not withhold the hand of any toucher.” The Prophet replied: “Divorce her.” The man said: “I cannot bear to be without her.” The Prophet then said: “Then enjoy her.”

Scholars have differed regarding this Hadith: some authenticated it, some weakened it, and some rejected it. The preponderant view is that it is weak and not authentically established from the Prophet, peace be upon him.

Assuming its authenticity, scholars have differed in interpreting the meaning of "she does not withhold the hand of any toucher" (لا تمنع يد لامس) with several opinions: 1. That it means promiscuity, i.e., she does not refuse someone who seeks indecency from her. 2. That it means extravagance, i.e., she does not refuse anyone who asks her for something from her husband's money. 3. That she is easy-going in character and does not resist someone who extends his hand to enjoy touching her, without committing indecency, neither adultery nor extravagance.

Some scholars have argued that the meaning of promiscuity is very far-fetched and incorrect because the Prophet, peace be upon him, would not command one to keep an adulteress. Therefore, the closest interpretation is that she is easy-going in character and lacks modesty in front of strangers, not that she commits indecency.