I have compost bins too. And I do pick up surface poops from the run (and sift poop from the coop) each day (which goes in the bins). So nothing wrong with doing it that way. But plenty of poop mixes into the run litter, along with other organic matter, to generate good ol' "garden dirt."...
They won't ignore it if coming to you = yum, treats!
Not sure what type of litter system you're using, but deep litter is pretty much a slow compost system right under foot.
I harvested 1 cu yard of soil last fall:
https://www.backyardchickens.com/threads/prepping-deep-litter-for-fall.1599199/
Since they like the scratch using a bit for training wouldn't be a bad idea. Give the bag a shake, pick a verbal call (mine's just "chook chook chook") and toss some scratch down. Do it 1-2x a day and before you know it they'll consistently start to come to you when they hear the bag or your...