tl;dr: Religious abuse only happens because religious leaders are allowed to claim ownership of things other people need in order to live, which is basically the spiritual version of "private property." Because of this, most Internet Atheist criticisms of "religion" would be better directed at capitalism instead.
Content note: Discussion of abusive religion and eating disorders.
From CollectQT's Political Definitions page:
capitalism - An economic system wherein the means of production are largely privately owned. Capitalism is inherently oppressive.
To unpack that a little, "the means of production" are what you need access to in order to make a living. They can be anything from printing presses to app stores to hunting preserves.
In a capitalist economic system, like the ones in China and the United States, these things are all privately owned, meaning that one person or corporation is allowed to control them despite the fact that everyone needs them. This is why capitalism is inherently oppressive; whatever political freedoms you may have, the people who own the means of production have the power to decide whether you live or die, and under what circumstances.
When critics of capitalism are talking about "private property," this is what they are criticizing. The "property" in question is the means of production, not your personal effects. They are not saying that you should be forced to give up your plushies or miniatures. On the other hand, if you've ever seen someone eBay their most prized possessions in order to make next month's rent, you know that this is exactly what capitalism does to the people it makes into losers.