In our new world of non-deterministic output (that's why we love LLMs! they say such helpful/agreeable/sometimes wrong stuff!), I think CI won't be sufficient. CI is in the realm of Quality Control; when I build the thing, is it to spec and does it do what I need it to do?
But when the model can shift underneath you, I think it will put pressure on Quality Assurance which is an evergreen task. As a parallel, drug manufacturers don't just test their molecule and manufacturing when they build it, they test it regularly to ensure defects haven't crept in because of some unexpected input to their final output. I think that is similar to how software will evolve.
In my work with LLM-included software, I built a tool that evaluates text output relative to a baseline of what's expected. It helps to ensure things don't drift over time. For example, if a hotel chatbot starts telling guests checkout time is at 11pm instead of 11am, that's a real operational problem and ideally should be caught before it impacts customers.
LLMs introduce new classes of problems/risks that we are just starting to understand and develop the tools to manage.