When plotting a lineage and asking for the display of link data, only the data of one link per cell is displayed. So for division cells with 2 outgoing links, only one link will display its data.
This is due to the location of the hovering area defined by plotly: when there are several outgoing links for a cell, the links hovering areas are placed on top of each other and only the lastly drawn one will be accessible.
To solve this, one possibility is to draw each link by 2 lines and to attach the data to display on the second (i.e. bottom) line.