I know many IP-heavy and health-centric companies are blocking AI use severely. For example, pharma depends on huge amounts of secrecy and does not want any data leaked to OpenAI, and often has barely-competent IT and security staff that don't know what "threat model" means. Those who deal with controlled health data also block with a heavy hand.
I imagine it'll take time for any of this tech to permeate and the lower barrier of entry will see adoption faster - as is usually the case with new tech - but it'll make its way eventually. On premise AI will be a thing