> You are benchmarking against an outlier stock with a cult following (Elon Musk) and diversified sources of revenue

So in this case, diversified revenue is a drag on SpaceX because all the non-AI revenue is growing considerably slower.

But your point about Musk is taken. Cerebras went out in May, and despite being a hardware company is trading at 37x sales. Palantir trades at 78x, CrowdStrike at 50x, Cloudflare at 47x, etc. Anthropic is growing significantly faster than any of those companies. I'm not making the case that Anthropic will/should trade at any of those, just that Anthropic trading in the range of the P/S of SpaceX would not be crazy, and it would not require Musk to be involved.

> A valuation based on comparisons has to have more than 1 peer to compare against

Yes, the best peers are "public pure play frontier model providers trading in the US." There are none. SpaceX is closest, despite not really being a frontier provider and definitely not a pure play. But you are correct that investors will use a basket of stocks. It is silly to suggest SpaceX will not be in that basket.

You absolutely can make an AI doomer basket to model Anthropic. Use "real infrastructure companies" as the connective tissue since AI wants to be infra. In your basket put Caterpillar, Kroger, The Southern Company, AT&T, Comcast, and ExxonMobil. You can absolutely make the argument that Anthropic should trade more like them than like CrowdStrike or Cloudflare, that is a coherent position. Then based on that infra peer group, calculate a valuation. I think this model will be much less accurate in the near term than a model that uses other high-growth tech companies.

Price discovery is part of the fun of IPOs! The doomer model could be right, the stock value could collapse toward irrelevance as fast as the exchange's circuit breakers will allow!