Don't Want to Know

'I don't want to know who I am without you.'
(from the song Agape - Bose City Sets by Bear's Den)

It strikes me that there are at least two, closely related, ways of interpreting this sentence:

1) 'I don't want to know what sort of a person I'll become if we are no longer together.'

2) 'I don't want to continue on/embark on the journey of self-discovery if you are not by my side.'