Is the hadith about the Prophet's (peace and blessings be upon him) glorifying Allah with his right hand weak?

The difference of opinion regarding Tasbeeh (glorification of God) with the right hand or both hands after prayer is well-known among scholars. There are three opinions: 1. The Sunnah is to do Tasbeeh with the right hand only (the opinion of Sheikh Al-Albani). 2. The Sunnah is to do Tasbeeh with both hands together (the opinion of Sheikh Bakr Abu Zaid). 3. The best is to do Tasbeeh with the right hand, and it is permissible to do Tasbeeh with both hands (the opinion of the Permanent Committee for Scholarly Research and Ifta').

The Permanent Committee stated that the Hadith of Yosairah bint Yasir, "And count with the fingertips," includes the fingertips of both hands, and the Hadith of Aisha that the Prophet (peace and blessings of Allah be upon him) "liked to start with the right in all his affairs" testifies to the preference of doing Tasbeeh with the right hand, and the matter is broad.

As for the most balanced opinion, it is that the default is for the counting of Tasbeeh to be done with the right hand; due to the general rule of Sharia to prefer the right in praiseworthy matters. However, there is no harm in using both hands together, as the matter falls within the scope of what is recommended and preferred, and not a contradiction.