It doesn't matter either way. What matters is that Google offers proper enterprise contracts. Contracts that are enforceable and transfer a lot of legal liability to the vendor. OpenAI, generally, does not offer such things.

Google Search itself is a somewhat special case - it gets a free pass because of its utility and because you're unlikely to paste anything confidential into a search box. But there are many places where even Google Search is banned on the data security grounds.

OpenAI offerings - ChatGPT, the playground, and the API - all very much encourage pasting large amounts of confidential information into them, which is why any organization with minimum of legal sense is banning or curtailing their use.