What is with the poisonous gate-keeping in the data science field/community? Is it a bunch of PhDs stuck doing marketing, bitter that people in the business domain are competing with them?
What do you care if a "data scientist" doesn't know what a normal distribution is? Are you worried about them as competition? If that person is getting hired in a role over you, maybe you should look in the mirror or be happy you dodged a bullet at said company. Easy.
I realize you're being facetious, but I always think back to that post here where someone asked how to become a data scientist and one of the replies said you needed to be able to code all the algorithms from scratch in C, C++, CUDA etc etc. Hilarious.
The purpose of data science is solving problems with the help of data. Everything else is semantics. In the real world most of the value comes from pretty simple solutions. Most people aren't working for Google X. Most experiments aren't critical. Uncertainty is acceptable. The inane trivia --which I liken to stupid whiteboard coding challenges-- becomes less important as the tooling improves. Better get used to it, or the ambitious analysts and BI people will eat your lunch.