Doesn't matter if you want it or not, it's going to be available, because only an llm that can do that will be useful for actual scientific discovery. Individuals that wish to do actual scientific discovery will know the difference, because they will test the output of the llm.

[edit] In other words, llms that lie less will be more valuable for certain people, therefore llms that tell you when you are dumb will eventually win in those circles, regardless of how bruising it is to the user's ego.