It's been years since I watched Matrix but is there really any conflict between these two Predecessors theories? IIRC actions of the Predecessors resulted not o

It's been years since I watched Matrix but is there really any conflict between these two Predecessors theories? IIRC actions of the Predecessors resulted not only in the resets of the Matrix but also destruction and recreation of the Zion. Is there any issue with Neo being sixth candidate to be "The One" within a sixth bigger loop? I don't think anyone but the Architect and the Oracle were aware of Matrix resets.