apart vs away

Could you tell me the difference between the two words in these sentences? Though you’re far away and Though you’re far apart. Thank you.

There are a number of possible meanings but the most striking one is this:

Though you are far away – Here the speaker/writer refers to one person or group of people who have travelled away from the speaker/writer. (You are far away from me.)

Though you are far apart – Here the speaker/writer refers to two people or two separate groups of people, but does not include him/herself. (You are far apart from each other.)

I’m afraid that’s not what I really want. Could you listen to the song You are not alone-Michael Jackson and help me to figure it out?

The lyrics in that song are
‘Though you’re far away’
and
‘Though we’re far apart’

Though you are far away - you have travelled away from me (the singer).

Though we’re far apart - we are a long way away from each other.

Ooops, sorry. Apart and trapa. I’ve got this thoroughly. Thank you.