I don't mean to convey that it's intentional. There's no conspiracy of cigar smoking financiers in tuxedos smoking cigars in dark rooms. It's just like the Carlin observation - there doesn't have to be a big conspiracy. They just know what's good for them.
They behave accordingly. The do things that they can, and because those things are relatively new, it's a type of information asymmetry and policy / good intentions / competence arbitrage that we haven't had to cope with before.
You might end up banning certain types of institutional participation in the housing market, because there's no way to protect against the negative consequences that doesn't have even worse consequences for either the participants or the population at large.
It'll probably have to be arbitrary, and the cost will be a bunch of firms no longer get the opportunity to make a bunch of money by leveraging their resources in that way.
And we see the influence and impact constantly, with outlandish asking prices being immediately met by institutions that have decided they want a particular property in a particular region. Or house prices being set to an outlandish level with no reduction in price over months and months on the market, because they can afford to sit and wait for the market to change. And if they can afford to do that, then all of a sudden they've got an incentive to drive prices up in that region, because local and state governments, banks, and realtors tend to use the same basic rubric to evaluate price. If a lower valued area sees home prices go up, properties in the higher valued area will be raised accordingly. There's no secret quant voodoo, it's just using a level of liquidity and staying power not accessible to non-institutional homeowners.
Supply and demand normally influence pricing feedback at much more granular levels which benefits individuals, and our policy and regulation and evaluation models are largely built around those assumptions. Without the negative feedback driving prices down, bad things happen for consumers, good things happen for those who already have lots of money and property.