I think you may run into trouble in trying to use PhotoLab on two different machines, pointing to the same set of images (on your SSD) … because PL insists on creating a unique database on each machine (it cannot be convinced to share one - because the database format used does not support multi-users).
The unfortunate result is that you will see spurious Virtual Copies of each image, as PL tries to deal with what it sees as duplicate sets of correction details for each image.
See here for more discussion on this.
John M