Hey Griffin, in my experience with corporate type jobs and companies it is not unheard of for them ask for you to work in a different style. That being said it doesn't mean you have to say no. I often find that someone developing an app or website gives examples on what they've seen that they either like or they know works bc its the new trend.
What I have done in the past is mention "I don't work in this specified style but I think we can work together to make something cool/something that will fit/etc." That way they know ahead of time that what you produce will be somewhere in the middle but will be more than likely leaning towards your style of work. A bonus when this has happened to me is the client has liked what I made plus its a unique take on something they like. You working in your style or somewhere in-between may shed a new look or perspective that they aren't aware of.