I would imagine the number of people who choose Claude code or Codex because it gives a political opinion they like rather than producing quality code is pretty close to zero.
You're assuming that your prompt is not being intercepted and rerouted by a lightweight prompt classification model.
In addition, you can make a similar comparison between Chinese models refusing to answer questions about Tiananmen Square and OpenAI and Anthropic models refusing to answer questions about the synthesis of methamphetamine; I don't think these topic by topic refusals would have real impacts on the overall performances of frontier LLMs.