There are ancient texts on this matter, such as
https://www.lesswrong.com/posts/34XxbRFe54FycoCDw/the-bottom-line
Short answer: once you know that you are listening to someone who wrote the bottom line first, then anything they wrote (or said) above the bottom line is worthless toward determining whether the bottom line is true.
It is still possible that they present information that is of some use in other respects, but only to the extent that it is not correlated with the truth or falsity of the bottom line.
Now, in some world it may be that if the bottom line were false, then fewer people would argue for it and such arguments would be less likely to appear on daytime television. That does not appear to be the world we live in.
Some curves that start exponential are actual unimodal, in the long run. Some are oscillatory. Some are chaotic, some have undefined behaviour because the thing being plotted ceases to make sense.
Why do you think all of them are eventually S curves in particular?