In reality, as always, I suspect the truth will be somewhere in between. SaaS products that succeed will be those that have a good UI _and_ and good API that LLMs can use.
An LLM is not always the best interface, particularly for data access. For most people, clicking a few times in the right places is preferable to having to type out (or even speak aloud) "Show me all the calls I did today", waiting for the result, having to follow up with "include the time per call and the expected deal value", etc etc.
There is undoubtedly an opportunity for disruption here, but I think an LLM only SaaS platform is going to be a very tough sell for at least the next decade.