Crossword Genius

Objective and popular speaker’s pulling power (9)

Ross

I believe the answer is:

intention

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

'pulling power' is the definition.
The definition and answer can be both related to thinking as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

'objective and popular speaker's' is the wordplay.
'objective' becomes 'intent' (I've seen this before).
'and' is a charade indicator (letters next to each other).
'popular speaker' becomes 'ion' (I can't justify this - if you can you should believe this answer much more).
'intent'+'ion'='INTENTION'

Can you help me to learn more?

(Other definitions for intention that I've seen before include "Design" , "goal" , "Plan, purpose" , "Aim, plan" , "Aim, purpose" .)

I've seen this clue in The Independent.
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