What is definitely true is that there are already other providers offering DeepSeek R1 (e.g. on OpenRouter[1]) for $7/m-in and $7/m-out. Meanwhile OpenAI is charging $15/m-in and $60/m-out. So already you're seeing at least 5x cheaper inference with R1 vs O1 with a bunch of confounding factors. But it is hard to say anything truly concrete about efficiency OpenAI does not disclose the actual compute required to run inference for O1.
[1] the cheapest I've found, which also happens to run in the EU, is https://studio.nebius.ai/ at $0.8/million input.
Edit: I just saw that openrouter also now has nebius
Also possibly b/c of their sweetheart deal with Azure they've never needed to negotiate enterprise pricing so they're probably calculating margins based on GPU list prices or something insane like that.