Greetings,
there are no two sets of prediction computation in the FMS.
Predictions are computed using blended wind.
the wind used for that purpose is a weighted average for the next 100 nm between the actual wind and the predicted wind entered by the crew.
the FMS applies a percentage of the result as per the distance between the aircraft and the waypoint, i.e, at 100 nm the blended wind will be composed by 100% actual at 90 NM, 90% of actual wind and 10% of the weighted average as defined above, at 80....
and That wind is used to compute the waypoint displayed on the ND, but will use the distance based on the bearing between the aircraft position and the waypoint, whereas on the MCDU it is based on the active leg (which could be great circle, rhumb line, Arc ....)
This why selecting the ABEAM Function on the DIR TO is good because it will transfer the prediction wind to the abeam waypoints.
I leave the spelling to SFCC
