What is the value of not working with a designer whose recommendations can't be implemented due to your constraints? Did they pester you daily about their recommendations?
Let's face it. As an entrepreneur, you have limited resources. There're only so many dollars in the bank account. These dollars have to be stretched to cover everything from pay and benefits to basics like coffee and internet access. Few entrepreneurs have room in their budget for deadweight, and a designer who proposes things that can't be implemented is deadweight of the worst sort.
That sucks. But the problem there is exactly the same as developers who propose solutions that cannot be implemented within the budget. It's bad developers/designers - not bad development/design.