Driven By You Ford Ad backstory

Not sure what's going on with those dates as you mentioned, but they're not saying they wrote Brian's song. It sounds like both The Fizz and Brian were given the same slogan to work with by Ford, and Ford went with Brian.

Partial quote from the Driven By You press release:

"And he [ad producer] says, ‘Oh, you write songs don’t you?’ I [Brian] said, ‘Yeah, I write songs.’ He said, ‘Well could you write a song for an advert? Have you ever done that?’

And I went, ‘No, I’ve never done it.’ He asked, ‘Would you like to?’ And I said, ‘Yes, I’d be very interested.’
He then asked me how I would feel about a slogan that goes, ‘Everything we do, we do for you’. And I went, ‘Yeah, I could relate to that’ because I can feel that in my own mind about my own self. And it got modified later on. It became ‘Everything we do is driven by you’ because it was about cars and I liked that even more."

does beg the question, was Bryan Adams also given the title to use as well (correct time frame)

The title was part of the ad slogan that the agency Ford used provided the songwriters, so it makes sense that they would use a particularly engaging bit of the slogan as inspiration to write a jingle around.

edit: and yeah they must’ve gotten the year wrong, unless they were going to do an update to the commercial/slogan in ‘92 but then decided against it.