No, that's not the case, as explained above.
Apply the effect/s, such as the fade animation (graphed above), to the initial BIN clip,
Since the initial clip is automatically placed on the timeline (prior to adding effects), delete it from the timeline after adding the effects to its bin clip. Then copy as instructed in the bin, and the effects you programmed on the initial clip will carry over to each copy, which can then be placed individually on the timeline where desired.
But there's another approach that may be more straightforward...
Do the copy procedure, arrange the clips on the sequence, then on the timeline click any single clip's FX button. Add the desired effects.
Click the folder icon on the effects window toolbar.
Give your custom effects a name and click on SAVE.
That creates a custom effect template that will appear at the bottom of the effects list. Open any clip's effects window and apply it just as you would any other effect.
You can even apply it to multiple clips by first selecting them, then applying. Depending upon which VP version is in use, this may also require clicking the "replace chain" button on the effects toolbar.
(The one with the check mark.)
(Your duplicate post has been deleted, to keep the thread intact.)