The problem is when you do that, you can change image's position while maintaining its movement but the anchor point remains the same (compared to other images). So when I run through my 0 to 100% scale it still originates from the original anchor point which is now off to the side and not centered on my image
This might get you what you're looking for: In the Timeline, right-click the Clip and choose "Nest...".
When prompted to enter a name of the nested Sequence, use the same name as the clip along with something like "Repo" (short for reposition").
Then set nudge the nested Sequence to the desired position.
If that doesn't have the desire result, you'll have to advance through the animation keyframe by keyframe.
If this was After Effects, you'd be able to put the playhead at any one of the position keyframes, select all the position keyframes, and then click and drag them to the new location. Unfortunately, that doesn't work in PR.