You're pretty much on the right track. I'm a beginner and don't post much (also not good at explaining 😓). What encouraged me to write this poem was the phrase "A thousand faces in a thousand places." Got it from a video game where a character has multiple facades wherever she goes, and it made me want to look more deeper about masquerades.
The first stanza, "Stars have boundless aliases." there's a scientific reference to this cause I noticed how scientists tend to name stars according to how they observed it. So, I think it kind of has a correlation with the overall theme? (in accordance to the line "to saunter it the right way, it's up to the latter." On the other hand, this "actor" says that faces can elicit deceit, so no matter how many faces a person has or how people see them, all of them might be fake and can put out for outward appearances.
The second stanza, since stars shine the brightest, adding the "hiding under this veil of light" is case in point of the juxtaposition. The actor wants to please people, even if it means letting out a phony display, "As an invisible silk latches onto the audience." means they have successfully captivated the masses.
As for the last stanza, I wanted to use the reference of Sisyphus's lore since and thought it would be fun to put out what I've learnt from history class (even if it doesn't serve that much significance, don't attack me.) The Sisyphus reference was about how the person is struggling to carry this burden of constantly putting on a spectacle for everyone, and the feeling of futility. "The disheveled odyssey to walk on this road", indicates the actor's past tragedies have driven him to walk down the path of fooling others. (I really like your take on this one 😭🫶 sorry cuz I haven't thought of a detailed tragic backstory for it 😓) "The myriad of shadows of a single soul" could also mean the misery they faced or even the facades they acquired.