The saving on existing usage is the easiest benefit to quantify and, in our experience, rarely the largest. Three others matter more and are harder to put in a spreadsheet, which is not the same as being soft.
Work that becomes possible. When marginal cost approaches zero, the calculus of what is worth processing changes completely. Reviewing every contract instead of a sample. Embedding the whole archive rather than the recent part. Running an agent across the entire backlog because there is no per-unit charge to justify. In our experience organisations discover more value here than they forecast, because a per-token budget trains people not to ask.
Data that becomes usable. The corpus that could not be sent to a third party — legal, HR, M&A, R&D, patient records, board material — is frequently the corpus where AI would be most valuable. Self-hosting does not make that data cheaper to process; it makes it processable at all. That is a category change rather than a cost reduction.
Risk that stops recurring. No third-party processor in the AI path means no annual vendor review for it, no sub-processor list, no transfer assessment, and one fewer supplier whose incident becomes your outage. Each is a modest recurring cost, and they are the ones finance never sees because they are paid in other people's time.