Based on these facts, I would say that wealth redistribution is an accidental side effect of tax policy in current societies. The main main function of tax is to raise money to keep the market system running smoothly.
That's a valid point and one folks often forget despite my own opinion that taxes should be as minimal as possible.
It's because the rich are typically the ones in control of structuring the tax system, including any loopholes.
This is why the idea of using taxes as a means of wealth-redistribution is such an eye-roller. You're never going to get the top 1%--or heaven forbid, top 0.1%--to have their wealth drained and given to the poor and needy in some politically-oriented karmic reparation. Real-world weath redistribution always boils down to taking money from the middle class and giving it to
the poor various groups, effectively rendering the lower classes, as a whole, poorer than before (due to the inefficiencies, fraud, waste and middlemen that such programs inevitably encounter.)
Still, as far as this thread goes, being upfront about one's intentions regarding taxation does go quite a ways towards explaining the "whys" of one's choices.