Sometimes the money is not worth the trouble it brings if the client is not who right for you.
Watch Sal Cincotta's workshops, he will tell you exactly the same thing, this guy charges 5 figures for weddings so its not pocket change and he would happily turn them down if the client' idea of photos is not what he offers.
His words are "not my client".
I see it as you are working with them, not for them. You have to be comfortable with them as they are comfortable with you.
Sometimes from the get set you know if they are your client, if you are successful you can basically pick and choose, Jeff Ascough shoots 40 a year but he gets many more enquiries than that. If you do it as a side line you can pick and choose. I guess if you are struggling as a business then you would put money first but then you have to ask yourself why are you struggling. Are you pitching your work at the right people, are you pitching it against the right market segment, are your work good enough?
When you are good enough, people will pay for quality, your art and your vision. Here, is the important part, your art and vision. The moment you start deviate from it, you start to lose it.
For the OP, I would shoot it how I would think best would shoot it, shoot it how it fits them both, pitch them your ideas, but if they don't like it then move on to the next idea. But if documentary is your thing, make it your thing, don't bend it for money.
The only time I ask what kind of photos my client want is what is in their formal list, the rest I shoot how I shoot it. Because they have seen my portfolio, they have seen complete works, they know what I do and what they will get. If they ask me to shoot any other way then it would turn out bad, because that is not how I shoot, it would reflect bad on me, bad reputation and bad for business. I may land 1 wedding pay day but could lose many more.
I would not go to Jeff Ascough and ask him to shoot like Jessica Claire, its not what he does. If I want Jessica Claire's work I would go to Jessica Claire.