The rivalry continues to today, as detailed in the link it seems like you didn't read.
In March 2024, Hamas and its allied groups in the Gaza Strip criticized Abbas' appointment of Mohamed Mustafa as the Palestinian Authority's new prime minister following Mohammed Shtayyeh's resignation. They issued a statement referring to the changes as "formal steps that are devoid of substance" and questioned the Palestinian Authority's ability to properly represent the Palestinian people. In response, Fatah condemned Hamas as being itself disconnected from the Palestinian people and accused them of "having caused the return of the Israeli occupation of Gaza" by "undertaking the October 7 adventure".
Later that month, Hamas accused Fatah of sending security officers into northern Gaza in collaboration with Israel, saying it had arrested six individuals and were "in pursuit" of the others. The Palestinian Authority issued a statement refuting the claims by Hamas.