Clarification: Your code != your startup.
You can have a polished high quality codebase, but still have a dying startup because you've built something that nobody wants. Conversely, having a desirable product makes up for a vast multitude of sins.
However, technical debt is expensive. Having a clean well-factored codebase makes changes cheaper, which means your company will have lower overhead and be more responsive to market demands.
As far as "forcing you to build loosely coupled code", good TDD should involve a thin layer of integration tests (Selenium/Capybara/Whatever), which drive out unit tests for the individual components. If you let the tests drive your code design, and follow the "Red -> Green -> Refactor" workflow, it tends to shepherd you into writing small easily testable functions and objects that are loosely coupled.
You can also use TDD to salvage crappy code, and derive good design even after the damage has been done. For a beautiful demonstration of this process at work, I strongly recommend Katrina Owen's video on "Therapeutic Refactoring". http://www.youtube.com/watch?v=J4dlF0kcThQ
Of course, there's no substitute for having good technical instincts. I couldn't agree with you more on that point. TDD isn't a silver bullet. It's just a damn useful tool, and more startups should be using it.