“ Ultimately, I want to see full session transcripts, but we don't have enough tool support for that broadly.”
I have a side project, git-prompt-story to attach Claude Vode session in GitHub git notes. Though it is not that simple to do automatic (e.g. i need to redact credentials).
At a minimum it will help you to be skeptical at specific parts of the diff so you can look at those more closely in your review. But it can inform test scenarios etc.