Two outputs, one transcription factor
p53 drives both the arrest arm (via CDKN1A/p21) and the apoptotic arm (via PUMA and NOXA). Losing p53 removes both. The cell keeps cycling with unrepaired breaks instead of pausing to repair or dying.
Resistance is a failure of interpretation, not of delivery
The drug still forms the lesion. What is missing is the pathway that reads the lesion and converts it into arrest or death. That is why p53-mutant tumors are often less responsive to alkylators, platinum agents, and topoisomerase poisons.
Two qualifications
p53 loss does not abolish all apoptosis — p53-independent death pathways exist. And p53 loss can make a tumor more sensitive to agents that exploit a repair defect, which is the basis of synthetic lethality. p53 status predicts which selectivity logic applies, not simply whether the tumor is resistant.