Both versions are completely understandable, but B is "more correct" for the reasons you mentioned. It maintains the sequence of tenses. Strangely, though, I think I would say A.
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networkenglish1)I'm a bit confused here, don't you think this is somewhat i
Example A would be correct if you change it to:
If + present tense + future form
If I choose to pay over the/by phone, would the agent that is going to assist me ask for my details?
AnonymousCJ,No.
Would you agree with networkEnglish on this?
AnonymousDo you think this could be a difference between American English and British English?No. I think both varieties are the same for the purposes of this sentence.