It's not patently untrue for me and the context of this question is personal. Others can choose to do whatever they want. But, for me, non-existence is always worse than existence.
Also, it obviously depends on the details. I mean, immortality could me that your consciousness is placed in a computer simulation. Or, it could me that you live forever, but you are brain dead. Or, it could me that due to some genetic mutation, your cells stop aging and you live like you are now forever. Frankly, I'd take any of those over non-existence. But, you can choose what you want.