This exchange is getting a little heated so I was just trying to keep out of it while still reading it..
However, I want to pick up on this factual inaccuracy. I do have a 1st and PhD in mathematics, but it is a massive impediment to a successful career in a well paid job. I have openly admitted I am on a low wage in other threads.
For example, I would never be able to get a job in the Office of National Statistics. I have discussed in other threads how easy it is to 'falsify' inflation figures by mathematical trickery. A decent mathematician with a conscience is not going to go along with that trickery. If that person kicks up a fuss, he will quickly lose his job for 'any' other reason his employers invent. However, my experience is you are vetted before employment, at the interview stage. You will not believe the number of times I knew I was the most qualified candidate for a job, but lost out to people I knew were the least qualified.
You have to take on the morality of your employer. Sometimes, that morality is not, shall we say, optimal.
While I was still at university, I can remember a professor was fulfilling a government contract. It was good money for the university. However, from what I could overhear, he was being told his 'conclusions' were not what was required. He was an honest guy and was clearly cut-up about having to alter his real-conclusions to meet the conversely opposite desired result.