Organizational romances

It is but obvious that in any organization where a large number of people work for sparks to fly between and flirting to go on. There has been a huge question pondering me was “is it alright if the staff of your organization to display romance of their private life with someone of your same organization itself into the office premises.”

Does the organization allow couples to work in the same office premises? Many organizations ensure that both husband and wife should not work in the same organization even if it were different locations and offices.
Is it advantageous or is it outrageous?
My major question of concern was as a HR is it a moral policing job we must take up trying to stop the romance or let it be as it is?

Some advantages of it can be

1)The productivity could increase given if their services were used aptly
2)Staff absence could go down
3)Will give a good impression about the organization

While the demerits could be

1)It could lead to gossiping among other employees which can hinder the group morale
2)It could hinder productivity
3)It could reduce social capital as people will be preoccupied with their partners and may forget others
The Jury is still out on what could be the impact but the question still wrangles in my minds do we have the job of moral policing?
Cheers
Arvind