Your link appears to tell a different and unclear story: Bin Laden explained the origin of the term in a videotaped interview with Al Jazeera journalist Taysee

Your link appears to tell a different and unclear story: Bin Laden explained the origin of the term in a videotaped interview with Al Jazeera journalist Tayseer Alouni in October 2001: The name 'al-Qaeda' was established a long time ago by mere chance. The late Abu Ebeida El-Banashiri established the training camps for our mujahedeen against Russia's terrorism. We used to call the training camp al-Qaeda. The name stayed.[83] It has been argued that two documents seized from the Sarajevo office of the Benevolence International Foundation prove that the name was not simply adopted by the mujahid movement and that a group called al-Qaeda was established in August 1988. Both of these documents contain minutes of meetings held to establish a new military group, and contain the term "al-Qaeda".[84] Former British Foreign Secretary Robin Cook wrote that the word al-Qaeda should be translated as "the database", and originally referred to the computer file of the thousands of mujahideen militants who were recruited and trained with CIA help to defeat the Russians.[85] In April 2002, the group assumed the name Qa'idat al-Jihad, which means "the base of Jihad". According to Diaa Rashwan, this was "apparently as a result of the merger of the overseas branch of Egypt's al-Jihad (Egyptian Islamist Jihad, or EIJ) group, led by Ayman al-Zawahiri, with the groups Bin Laden brought under his control after his return to Afghanistan in the mid-1990s."[86]