Do you want to leave the feed in the coop so wild birds dont eat it? Because it is unlikely they will, I let my chicks free range a bit in the day and put feed on the sidewalk and the birds pay no attention to it. And it would seem less likely they will go in to get the food. I would say it would be better to leave food out where they can see it, maybe keep some in the coop too if you want, but I think it is better spread on the ground or in a special feeder so they dont just wind up spilling it all over the ground anyway.
Wild birds carry diseases so you should never keep your chickens feed outside. I doesn't hurt to give them a little scratch a few times a week on the ground outside in the run, but only what they can eat in a couple minutes.
