It's really only between Anthropic and OpenAI for many of my use cases, since I have a Zero Data Retention agreement with both. I'm not trusting random inference providers and especially not Elmo with sensitive data.
It's now my open weight inference provider of choice, since on top of the privacy/security characteristics it's also reasonably cheap.
tinfoil asks more than 10x the output cost ... $1.90 per 1M tokens instead of $0.18 per 1M tokens for my favorite model (Deepseek V4 Flash 0731) on my favorite provider (DeepInfra) currently, for example.
Tinfoil OTOH claims hardware attestation and confidential computing, which is a pretty strong and (in theory) verifiable promise.
You absolutely would not recommend tinfoil.sh to someone indifferent to privacy trying to save money.
It's a very different service than OpenRouter.
Batch API is a bit harder, not many models/providers support Batch. It primarily is only the Gemini/ChatGPT/Claude models that do. DigitalOcean does support a 50% discount on Batch API via them directly, not listed on OpenRouter.
[1] https://docs.digitalocean.com/products/inference/how-to/use-...
I am quite happy with them so far.
For Mythos and even Fable they require prompt retention on their end.
edit: or more precisely if you want to access Mythos/Fable ZDR does not apply, and depending on config the exclusion can affect other models.
But if their employer is bringing millions of dollars of potential spend to the table, can tell you from years of experience that turns a lot of 'no's' to 'yes'.
You do not have ZDR with fable/mythos, nor will you ever have it again. The bedrock customers who thought they had ZDR learned rather rudely that this was not the case after the government decision that also banned non US citizens from using these models.