Are you referring to the "Altschuler" in Rbzn. Chaya Mushka Schneerson, 3rd CHABAD Rbzn. profile?
It is a great question.
I wonder if the any of the other managers merged in have any idea?
Yigal Burstein, Private User, Shulem Jeremias, Private User
R' Jacob Sachs, of Prague
Reb Koppel Altschuler
Maharal of Prague's wife's great grandfather name was " Altschuler ".
Chaya Mushka Shneerson is a direct descendant, i.e.. 10th great granddaughter.
This is the only connection that I could find.
Perhaps the "Altschuler" was used by some in order to distinguish between the two Chaya Mushka Schneerson rebbetzens?
eg. Chaya Mushka Schneerson, [7th Rbzn. of CHABAD] & Rbzn. Chaya Mushka Schneerson, 3rd CHABAD Rbzn.
Or maybe it was used in the past as there is another example of the name "Altschuler" in use. It does add a certain context to the line.
Rbzn. Deborah Leah Altschuler, Mother of Tzemach Tzedek