As a renter myself, I have tremendous sympathy for the tenants affected by this. But there is a way to frame this whole saga that makes it much more innocuous:

By maximizing individual profit, the software rapidly finds the real fair market value of rentals. It turns out that the fair market value for rentals is much higher than people thought! This should make sense: housing supply is low, housing demand is high, and housing demand is extremely inelastic. It is a situation where egregious profits should be expected! Landlords simply hadn't realized that they could charge more.

There is one seemingly illogical result, which is that some units go vacant despite the huge demand. But unsold goods are a normal part price discovery, and we are not talking about a huge change: occupancy rates only drop a few percent.

It's a brutal result for tenants, but the alternative is incorrect pricing, which has its own negative implications for the whole market.