Wanting property laws not to give additional advantages beyond those that wealth itself already gives is not hateful. It's also pretty reasonable that the vast majority of people who are not rich might not care about preserving "our" prosperity in the current form. I'm pretty certain there have been plenty of societies with worse quality of life for most people in them throughout history with property laws at least as strict as ours, so it doesn't follow that people would overall be worse off with more egalitarian property rights. This doesn't even address the obvious issues with assumptions that maximizing prosperity is inherently the most important thing; it was arguably more "propserous" to avoid regulating child labor, 40 hour work weeks, minimum wages, etc., but I fundamentally disagree that those would be bad policies even if there were provably shown to reduce "prosperity", whatever that means