Earlier quoted context omitted.
That's because the bank still expects the mortgage to be paid.
If this was true, we'd see landlords with paid-off mortgages waiving the rent. Since we don't see this on any major scale, we can only conclude that mortgages are inconsequential to landlords demanding rent-payments.
In addition, there's basic upkeep and maintenance that you're required to perform to keep a building insured, let alone to make it re-openable at some point.