As a mathematician myself, I can confirm that following your advice would be a major flaw.
If the sky isn't falling, then we don't need to pay as much money for climate research, and the climate "scientists" may see their pay drop. They seem to have chosen profits over integrity, which could be a terrible error if they're actually right despite their sloppiness [I'd put in a "boy who cried wolf" picture, but I have a one fairy tale per post limit].
Good point. I guess it depends on what your objective function. If your plan is to maximize the amount of tax dollars you receive, then bad math is better than good.