No no, not at all, see: https://openai.com/index/why-language-models-hallucinate/ which was recently featured on the frontpage - excellent clean take on how to fix the issue (they already got a long way with gpt-5-thinking-mini). I liked this bit for clear outline of the issue:

´´´Think about it like a multiple-choice test. If you do not know the answer but take a wild guess, you might get lucky and be right. Leaving it blank guarantees a zero. In the same way, when models are graded only on accuracy, the percentage of questions they get exactly right, they are encouraged to guess rather than say “I don’t know.”

As another example, suppose a language model is asked for someone’s birthday but doesn’t know. If it guesses “September 10,” it has a 1-in-365 chance of being right. Saying “I don’t know” guarantees zero points. Over thousands of test questions, the guessing model ends up looking better on scoreboards than a careful model that admits uncertainty."´´´´