Post would have been way easier to understand with quotes breh. Had to re-read it 4 times to get it properly.[...]
@Liu Kang allez is you go in vous form I know that but as a command like allez! it means come on but can it mean let's go! as well? Allons-y doesn't roll off the tongue like allez pause
So, "allez" alone without the "vous" pronoun before is the imperative mood and can mean "come on" when you saying to yourself. It could mean "let's go" (rarely imo) when you talking to a group though it would more been a frustrated/fed up "let's go" as in "come on brehs... let's go :/". Plus, it would more be something like "allez, là..." or "allez..." (the fed up way) while "allez !" would be the frustrated way (translated into "Come, on !!" with both words separated by a little silence if you know what I mean).
"Allons-y" is not really used verbally between young people even though it's the correct grammatical way (first person in plural) and a literal translation would be "let's go there" (because of the "-y"). "Allons-y" is mostly used by people in a position of authority (teacher, boss or older people) talking to younger people, talking politely, or talking to people lower than them in the hierarchy. It's very formal.
If you're talking to a group of people your age or that you know and mean to give a command or simply to tell them it's time to go, you'd rather use "on y va" (sometimes, preceded by "allez" as in "allez, on y va !" (come on, let's go !) to engage the movement) which is the verbal way of saying "let's go" (not the written one which would be "allons-y"). "On" is a third person singular pronoun but is widely used verbally like a first person plural pronoun meaning then "me and you".
For example, the Spanish use "Vamos" (or Vamonos, depending) which is the translation of "Allons" and means both the "let's go" command (to a group) and the "come on" shout to oneself which is both grammatically correct verbally and written. While us French verbally use the second person plural to encourage ourself/ves and the third person singular to give a command.