If you look at around 31:27 in the talk, you will see ten complex things, with proposed simple alternatives. If testing helped people feel the pain of complexity and discover simple things, we would see projects where people had problems writing tests, and switched strategies as a result.
Do you see people moving from the complexity column to the simplicity column in any of these ten areas as a result of writing good tests? I don't. What I see is people cheerfully enhancing testing tools to wrestle with the complexity. Consider the cottage industry around testing tools: fixtures, factories, testing lifecycle methods, mocks, stubs, matchers, code generators, monkey patching, special test environments, natural language DSLs, etc. These testing tools are valuable, but they would be a lot more valuable if they were being applied against the essential complexity of problems, rather than the incidental complexity of familiar tools.