Lovebirds as the name suggests, are loving birds but only to the extent if kept with lovebirds only. I have not seen any problems with lovebirds living in a colony together. No matter how many pairs you keep together in a breeding colony setup, you will not see any lovebird that has injured any other lovebird. They live together peacefully with other lovebirds in the same cage or colony.
Despite of their good reputation with other lovebirds, they cannot tolerate any other species of birds in their cage. A friend of mine had a colony of lovebirds; One day he purchased some finches and put them into the same cage where lovebirds were living. Next day he saw all his finches had their feet injured by lovebirds and he had to separate them immediately without any further delay.