Hi,
are you using GCPs in this project?
I think it is not needed to export both registrations. You can add the one to another project. Did you have set also output coordinate system?
According to first look it seems, that photogrammetry component is moved from its position. Is it possible to turn off the Camera priors just for images and them align the components? Were you using RTK drone? If not in that case turn off the Camera priors for images and you can try to align also using option Merge georeferenced components in settings.
In some cases it is needed to use control points to merge these kind of datasets, so what you find about marking targets on laser scans’ LSPs is true.