That's a fact! If a CEO makes a public claim, it should be true and if any investor wishes to verify any claims made it is not only a good practice but it's one of the ways to justify investing in any company.
For anyone to claim that trying to verify facts causes their investment to be hurt by the truth then some investors are living a lie with the hopes of capitalizing on said lies.
If a CEO doesn't want anyone to verify something that he claims about a publicly traded company, I think that shows that there may be a lack of verifiability and or truth.
I wish I verified more of the company's claims before putting as much time and money into this venture.