I agree with that. If a function "can't" be called with a null pointer, but is, that's a very interesting bug that should expose itself as quickly as possible. It is likely hiding a different and more difficult to detect bug.
Checking for null in every function is a pattern you get into when the codebase violates so many internal invariants so regularly that it can't function without the null checks. But this is hiding careless design and implementation, which is going to be an even bigger problem to grapple with than random crashes as the codebase evolves.
Ultimately, if your problem today is that your program crashes, your problem tomorrow will be that it returns incorrect results. What's easier for your monitoring system to detect, a crashed program, or days of returning the wrong answer 1% of the time? The latter is really scary, depending on the program is supposed to do. Charge the wrong credit card, grant access when something should be private, etc. Those have much worse consequences than downtime. (Of course, crashing on user data is a denial of service attack, so you can't really do either. To really win the programming game, you have to return correct results AND not crash all the time.)