Why would that be a solution? What's the difference between the LLC that buys a bunch of homes and the LLC the builds bunch of homes. When the homes are done being built the LLC has morphed from an LLC that builds homes to an LLC that bought a bunch of homes.
The solution to me is to stop preventing people and companies from building homes.
https://www.youtube.com/watch?v=cjWs7dqaWfY
Effectively, goverments and nimbyism prevent houses from being built. Even when some laws change to supposedly allow it other laws continue to prevent it. It's got nothing to do with LLCs buying existing houses, it's got to do with not enough houses period.