parshanut torah comment - מחני נא -- Moshe's real name isn't mentioned

In Shemot 32:32, Moshe tells Hashem:

וְעַתָּה אִם תִּשָּׂא חַטָּאתָם וְאִם אַיִן מְחֵנִי נָא מִסִּפְרְךָ אֲשֶׁר כָּתָבְתָּ:

And now, if You forgive their sin But if not, erase me now from Your book, which You have written.

Many commentators have pointed out (see Moshe's name is missing) that Moshe's name is not written at all in Parshat Tetzaveh (immediately preceding Ki Tisa, the source of this pasuk).

However, Moshe's original name is never mentioned in the Torah (see Did Moshe have an earlier name?). Could this also be because of מחני נא מספרך?

Are there any sources that suggest this?