Since I am only familiar with unmarried priests, I think that it would take some getting used to if the celibacy rule was to change.
I think the family of the priest would feel pressure since they would be in the “lime-light” and might think everything has to be perfect in the way they act.
Some issues of balance between devoting oneself to the church and devoting oneself to his wife and children might also surface.
However, as you say, I think this would make preisthood an option for more men.
Also, I agree it would need to be explored and well thought-over before any decision is made.