Not all benevolence may be affectionate! (4)

I believe the answer is:

love

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'not all' is the definition.
'love' can be an answer for 'all' (I've seen this before). I am not sure about the 'not' bit.

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for love that I've seen before include "Nothing for the Williams sisters?" , "Romantic feeling" , "Feel great affection for" , "Nil score in 19" , "Zero score, dear" .)

I've seen this clue in the Evening Standard.

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