A: First,
Salah is a form of `Ibadah (worship), so the basic rule on it is Tawqif (a religious text and not personal opinion) and the manner of compensating for it is clarified in Islamic rulings which can be derived only from the Qur'an, the Sunnah, and the Ijma` (consensus of scholars) based on one or both of them. It was neither reported from the Prophet (peace be upon him), nor from his Sahabah (Companions, may Allah be pleased with them), or the Imams of guidance (may Allah be merciful to them) that they offered this Salah or urged people to do it. If it had been authentically established, the Sahabah (may Allah be pleased with them) would have known it and transmitted it to us and the Imams of guidance would have informed us about it. However, this was never reported from any of them, whether by sayings or actions, which indicates that it is a Bid`ah (innovation in religion) which is not permitted by Allah. It is authentically reported that the Prophet (peace be upon him) stated, (Part No. 8; Page No. 168)
Whoever introduces something into this affair of ours that is not of it, it is to be rejected.
He (peace be upon him) only informed us that if a person misses a Salah due to sleep or forgetfulness, they must offer it immediately when they awaken or when they remember it, not in the last Friday of Ramadan.
Second,
as for offering a Nafilah (supererogatory) Salah at home, it is better than offering it in the Masjid, as the Prophet (peace be upon him) stated,
The best Salah offered by a man is that offered at home, except obligatory Salah.
(Agreed upon by Al-Bukhari and Muslim)
May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.