That isn't part of the plan because it's not the immediate problem. I agree that we should worry about the long term repercussions of missed payments, but more in the lens of wherethe buck literally stops.
Tenant can't pay rent
Landlord can't pay mortgage
Mortgage servicer can't pay lender
Lender can't pay government bond
Government tries to recoup funds
There's probably more intermediate steps, but at some point one hand isn't going to get paid. In all likliehood I see this being passed onto the taxpayer as a higher tax, most likely a payroll increase or state tax increase, in order to give some obscurity so the bill can be sold as not directly raising taxes. The best way, if I were running for office, would be to claim it as a 1 month rent forgiveness program, paid for by the biggest corporations. In actuality it would be a combined increase in payroll and VAT taxes on companies with more than say 5000 people. These companies are big enough that they will be most able to raise prices enough to offset these losses, effectively keeping their sacred profits intact and ultimately passing on the bill to the consumer base.
YMMV