Yet the landlord claims it is to give the tenant time to find another place to go, giving the tenant a time frame and still taking money and writing a receipt.
If you are seeking a way to avoid vacating a rental you'll need to come up with a better gimmick than this; receipt or no receipt. It seems that you'd like to turn an act of kindness back on an indulging landlord and it won't work.
As stated before the mere act of a landlord extending an erstwhile tenant a reasonable period of time within which to comply with an order of eviction does not in and of itself serve to void or nullify the court's order; whether or not the landlord is compensated for the interim or grace period.
(No more than a landlord's judgment for delinquent rent would be rendered unenforceable simply because the landlord chose to grant the former tenant/ judgment debtor a reasonable period of time to pay the judgment before pursing other means of collection.)
However, as stated before nothing with respect to the eviction proceedings would prevent the parties from reinstating or creating a new a tenancy thus rendering any such judgment moot. But nothing can be gleaned from your meager offerings even hinting at the parties agreeing to either, nor the landlord having waived enforcement of the order of eviction.
I suspect someone will be soon be greeting a visitor from the sheriff's office.