Really a stimulus is just subsidizing inflated rents. And landlords are using the threat of mass homelessness to coerce the government into that subsidy.
Imagine a retired teacher who decides to rent out a garage apartment to supplement her pension - is she taking advantage of 'inflated rents' if the rent amount barely covers a proportional amount of the mortgage?
Additionally, landlords have to pay 'inflated property taxes', 'inflated utilities', and 'inflated garbage service' - these aren't discretionary costs for a property owner unless you advocate letting people stay in their apartments, but without landlord contributions to water, heat, cooling, garbage.
As far as explicit coercion I really doubt that and I doubt it would be even necessary. For many, many reasons politicians are heavily incentivized to just flood the system.