Attachment that means, as a matter of fact, nothing? (4,4)

I believe the answer is:

true love

I'm a little stuck... Click here to teach me more about this clue!

'attachment that means as a matter' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'fact nothing?' is the wordplay.
'fact' becomes 'true' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'nothing?' becomes 'love' (love means zero in tennis).
'true'+'love'='TRUE-LOVE'

'of' acts as a link.

Can you help me to learn more?

(Another definition for true love that I've seen is " Genuine affection?".)

I've seen this clue in the Evening Standard.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.