Ordinarily and after running in, the piston rings would have adopted any discrepancy in ovality etc by the ring wearing to accommodate this via the bore cross hatching.
After this stage, the bores will look more polished and lacking any significant edges to the hone marks as that process effectively concludes.
The above then leaves the best quality seal, if it worked properly, but with each ring remaining in it's original position in rotational datum to the bore that has just honed it to this finish.
When you remove the rings it's unlikely that you'd get this register back, now making that best seal possibly out of reach.
Ideally you'll need to reproduce the hone "teeth" to enact that process again. It's possible that the existing rings could be reused as they'll cut again, but quite what the end gap will get to is unknown (they don't change that much). Also a a consideration is that IF the rings have any significant ovality from original running in, then that error would have to be taken out by this process too.
You'd have to hone and reuse the rings, or hone and new rings. The risk is lowered compression etc if they don't seal well.
It's not a huge risk, more that you'd kick yourself if you had to pull it apart again if you were unhappy with the outcome.