Blues all I played, or music for rockers? (9)

I believe the answer is:

lullabies

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'music for rockers?' is the definition.
I can't judge whether this definition defines the answer.

'blues all i played' is the wordplay.
'played' indicates an anagram (letters playing around).
'blues'+'all'+'i'='bluesalli'
'bluesalli' is an anagram of 'LULLABIES'.

'or' acts as a link.

Can you help me to learn more?

(Other definitions for lullabies that I've seen before include "Cradle songs" , "Cradlesongs" , "Soothing songs for babies" , "Songs to send a child to sleep" .)

I've seen this clue in The Times.

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