I've had a a few business partners and in some cases, they have been just like me and in others, they have been VERY different. I'm an idea person but also very solutions/result oriented. I know the necessity of a business plan but hate doing it in the traditional way. My hesitation here might not be the fact that the partner is CREATIVE. Creativity is great. The word REFUSAL is what catches my attention.
In EVERY relationship in life, we create agreements. That's how relationships move forward. It's not simply about what one person wants. It's about what the parties in the relationship AGREE to.
We are all seeking RESULTS of course and those results will come when we find a strategy that WORKS! Right now, you both have not figured out what WORKS. If it was WORKING, then there wouldn't be tension around a business plan. I don't believe a traditional business plan is ALWAYS needed. But, a strategy is DEFINITELY needed. If you both see benefit in the partnership, then it comes down to you both determining what type of strategic approach will work for you both.
A creative likes to create. Both parties in the relationship need to figure out what their highest success strategies should be and then merge those into an AGREEMENT that works.
If that is not possible, then maybe the partnership shouldn't be possible either.
I'd love to help answer any follow up questions.