wouldn't like, don't want

[joham]

You're right. But I __________ to go by train.
(A)wouldn't like (B)don't want (The given answer is B.)

I met this question and thought both answers were fine. Am I right?

And in Martin Hewings' ADVANCED GRAMMAR IN USE (99 edition, p162) there's this dialogue:
'He won't mind you phoning him at home.' 'Oh, I wouldn't like to.'
My second question is: Could I answer 'Oh, I don't want to.'?

 

[riverkid]

You're right. But I __________ to go by train.
(A)wouldn't like (B)don't want (The given answer is B.)

I met this question and thought both answers were fine. Am I right?

We don't 'meet' questions, Joham. 'run across' could be used. "I ran across this question".

Yes you're right, both answers are fine.

And in Martin Hewings' ADVANCED GRAMMAR IN USE (99 edition, p162) there's this dialogue:
'He won't mind you phoning him at home.' 'Oh, I wouldn't like to.'
My second question is: Could I answer 'Oh, I don't want to.'?

Yup, you can.