I have noticed when doing CFOP and doing LBL they have basically the same steps in the last layer but in different orders
LBL: first look OLL(that is getting that cross), PLL of edges, PLL of corners, OLL of corners
CFOP: OLL of whole layer, PLL of whole layer
This OLL of corners in LBL temporarily messes up what I have solved but eventually fixes it. This is why I wondered if the OLL would mess up my F2L.