You nasa fan boys need to get on the same page. I've read many articles that state that the Apollo missions went through the Van Allen belts.
And while you're frantically Googling the popular literature that simplifies the issue, many of the rest of us are quite capable of plotting the actual orbit. I even spoke to Dr. Van Allen about it, before he passed away.
The Apollo missions adopted an inclination that largely skirted the trapped radiation belts. By manipulating altitude and inclination, several departure trajectories are possible that largely miss the Van Allen belts. Let me know when you've worked out those orbital mechanics.
But to respond to your actual question -- no, Bean did not go through the Van Allen belts on his Skylab mission, which was where the quote was lifted from. You need to stop relying on third-party sources, especially those sympathetic to the hoax claims who doctor and misrepresent the facts. They know you won't check up on them.
Also NASA is still trying figure out the radiation belts for the future and fictitious Mars mission. Why not just use the data from the 1960's technology that the Apollo missions use to navigate the belts? Or did NASA lose that also?
Before I discuss present and future operations, I'll just let you mull over the obvious contradiction in your claim that is utterly unapparent to you.
What about all that data? Guess what -- the AP and AE models from before and during Apollo are the
de facto standard for those us who work commercially in the field. You don't seem to realize it, but NASA isn't the be-all and end-all of space. All my work in space has been done for commercial companies who are working for profit. Two of the objects I mentioned earlier traversed the Van Allen belts, and others I've worked on tangentially operate continuously in them. These are projects with billion-dollar budgets, made for private customers. We guaranteed our work, and everyone involved took out enormous insurance policies that would pay out for early failure.
Now imagine of all those trapped radiation models were wrong. Imagine what would happen if our products failed prematurely because of it. We'd lose credibility in the industry, and the insurance companies would most assuredly investigate the causes of the failures, up to and including the validity of the information on which the designs were built. There are vast financial incentives for making sure NASA did its job.
You talk a big game about "following the money," but in fact you have no clue where the money comes from and goes to in this industry. You maintain your teenage spy novel view of the world, in almost total ignorance of what actually happens.