Anecdotally, the vast majority of people I've met - from all walks of life and religious/political leanings - will answer this question with an unthinking "yes, of course that's bad".
I've been curious lately why this is. From the standpoint of Christianity, isn't the end goal rapture followed by total extinction anyway? From the standpoint of agnosticism/atheism, wouldn't an extinction mean the end of human suffering?
Why are we as a species so afraid of not being able to sustain ourselves through a constant churning of new births? Is it just our monkey brain ultimately calling the shots?