You could break people up into political and wealth-based quadrants: 1. Conservative and rich 2. Conservative and poor 3. Liberal and rich 4. Liberal and poor
Consider the typical expressed beliefs of quadrants 1 and 2. Both advocate that individualism and an internal locus of control can help you succeed in life. The difference is whether they have "succeeded in life" (by socioeconomic measures/ whatever).
Consider the same for quadrants 3 and 4. They would typically be more likely to advocate for the idea that success is based on luck. Again, the difference between 3 and 4 is whether they have not "succeeded."
Of all the quadrants, quadrant number 3 (liberal and rich) has a unique cognitive dissonance between their lived reality and their stated moral position. They tend to believe that rich people have achieved their wealth largely through luck, and now have power and autonomy that others lack. They state that the rich should help the poor, and they are rich, so they continually must justify their own wealth. This type of cognitive dissonance does not exist in the same way for the other 3 quadrants. That's why TFA is inevitably critical of the left for its luxury beliefs moreso than the right.