Strongly suspect OAI can't afford 20B cash. Their latest funding round was 40B, and they're burning through money like it's rice paper. They could offer OAI equity, but Cursor's founders would probably be very suspicious of private valued stock (which is fairy money).
How wise it is to buy Cursor is another question. Current valuation has them at 100x revenue. And I suspect agentic products will be a lot less cash flow positive than traditional SaaS because of the massive cost of all that constant codebase context and stream of code.