Welcome to the forums, Cassie!
While it's true that breeding budgies need egg food on a daily basis, this is certainly not exclusive for breeding pairs and their growing chicks.
Egg food is also a vital component to offer to moulting budgies and can be supplemented on a daily basis especially during the most difficult stage of the moult. Young budgies who have been recently weaned will also greatly benefit from having egg food on their diets.
Egg food can also be quite important in terms of providing good nourishment for sick and convalescent birds, as it will give them a much needed boost and make a real difference during the recovery process.
For healthy, non breeding budgies who aren't moulting, egg food can be offered once or twice per week. Personally my flock gets it twice per week.
And one of my special needs bird has egg food available at all times on a daily basis, this has been previously established with the avian vet's approval.