The unintended consequence is that there are closed rental networks that never advertise and only rent to vetted people with reputation on the line. These often have cheaper rents than publicly advertised rental properties because the risk of bad tenants has been reduced.
It turns the public rental market into an adverse selection phenomenon. Over time, the best tenants have access to cheaper better rentals that are never even visible to the average rental tenant.
Even if you don't live in the house it still costs money in taxes, maintenance, and possibly mortgage so renting it would offset that. Having someone living in the house would also reduce maintenance costs. However, if renting can cost you more money at the end due to tenant protections, it would be wise to take a fixed loss of keeping the house empty than try your luck on rental market. Landlords with multiple units can price the risk into the rent so they can come ahead but with just one unit your risk-adjusted rent will be way out of the market.
To be fair, _some_ anti-landlord laws are relaxed in this case, but not enough to make the worst-case scenario reasonable.