The Shaykh mentioned the ruling on a Muslim initiating the greeting of peace.

The Shaykh : Initiating the greeting of peace? Is it the same as returning the greeting? There is no doubt that returning the greeting, as the evidence has agreed upon, is stronger in the ruling of the Shari'ah than initiating it, because returning the greeting is obligatory by this Qur'anic text, and because the hadith that came from the Prophet (peace and blessings be upon him) is authentic: The first thing that appears and comes to mind regarding this stinginess is returning the greeting that was offered to him by his Muslim brother. As for initiating the greeting, it is undoubtedly a recommended practice, at the very least according to the weakest of the opinions, and the stronger opinion is... There is no room left, my brother F...
So the stronger opinion is that initiating the greeting is also obligatory, but within the limits of one's ability, because the hadith says, "If you meet him, greet him." If we were to imagine a man who leaves his house and greets every Muslim he meets, he would fall into hardship. This is not possible, and hardship is removed by the explicit text of the Qur'an. Therefore, the preferable view, according to what my research and knowledge have reached, is to say that initiating the greeting is also obligatory, but within the limits of... and what is possible and not accompanied by hardship.
This is regarding returning the greeting and initiating the greeting, which is a right of a Muslim over his Muslim brother. Have you heard in the hadith: So this is a condition by which it is established that...