Will adding extra nitrogen to compensate fix the situation or will that just cause more issues?
Depends on the source of nitrogen but most likely will cause problems.
Let them dry some. Remove from pots and gently remove dirt from roots and plant in new soil.
Just use a screen to sift your new dirt.
It done right you won't hurt them at all. I've done quit a few that way.
If you do break some of the roots all you have to do it top the plant. That reduces the amount of vegetation the roots supply. It slows growth and allows the plant to focus on root repair.
That is the only time I recommend a b vitamin solution like super thrive.
I grow flowers and vegetables. I frequently transplant and up pot my flowers. I cut root balls apart all the time.
You won't hurt them. Better to correct it now.