I think this may be apples and oranges. I think the purpose of a lawn aerator is that after years, turf grasses create a thick blanket. I would speculate that your observation of the no-till drill in a soybean field is something different. The opener is slicing through the soil the drill is dropping a seed, and then the closer is pushing soil back on the seed. If there is grass seed in the field laying on the ground, some of it is likely falling into the trench before it is closed. Grass seed between the rows just sits on the surface and has less favorable conditions for germination.
I think aeration on sports fields or lawns is done after they have been in place for a long time and it is hard to get fertilizer into them.
If your are just talking about a non-competition grade field for the kids to play, consider this. Fescue is not really compatible with wildlife. Folks seeing deer eating grass are usually seeing deer eating forbs not the fescue. Years ago, lawns were a mix of fescue and clover. This was a good combination. The clover fixed N into the soil that the fescue used. It did not require the high fertilization that a monoculture of fescue does. Lawn product companies could not find a herbicide that would kill noxious weeds without killing the clover, so they went on an advertising campaign saying "you don't want clover in your yard. It attracts bees and your children will get stung". That eventually lead to the monocultures of fescue we have today.
Fescue is rugged and will stand up to a lot of abuse once established which is one reason they use it on sports fields. I'd consider mixing a low growing perennial cover with your fescue and just keep the field mowed to remove most broadleaf weeds. You won't have to worry about aeration for many years. This may not be acceptable for a regulation field, but would work well for a practice field for the kids.
Thanks,
Jack