Human trust has to be earned, why should AI trust be any different? If I’m supposed to yolo-approve any random code a machine spits out, it had better prove to me it’s nearly flawless, otherwise I’m applying the same review regiment I apply to any other code. To do otherwise is to shame the word “engineering” and the field thereof.
Engineering is a game of tradeoffs. Time is one of the things you have to trade off, given your strong opinions I expect this is something you've been in the industry long enough to understand intuitively.
Regarding proof, if you have contracts for your software write them up. Gherkin specs, api contracts, unit tests, etc. If you care about performance, add stress tests with SLOs. If you care about code organization create custom lint rules. There are so many ways to take yourself out of the loop rigorously so you can spend your time more efficiently.