Yes, it is related to the usage there (and is listed on that page).
But here's the definitive answer from the publication itself:
"SPECULUM, this mirror to which we find it appropriate to give a Latin name, suggests the multitudinous mirrors in which the people of the Middle Ages liked to gaze at themselves and other folk — mirrors of history and doctrine and morals, mirrors of princes and lovers and fools."
From the preface to the first volume, linked at the top here:
But here's the definitive answer from the publication itself:
"SPECULUM, this mirror to which we find it appropriate to give a Latin name, suggests the multitudinous mirrors in which the people of the Middle Ages liked to gaze at themselves and other folk — mirrors of history and doctrine and morals, mirrors of princes and lovers and fools."
From the preface to the first volume, linked at the top here:
https://www.medievalacademy.org/page/MAAHistory
Ps: word origin:
from Latin: mirror, from specere to look at
https://www.collinsdictionary.com/dictionary/english/speculu...