JMHO ... but your right, it IS a competition..
the queen wants more bees, the bees want more sugar syrup. Keep feeding and you wont have bees, you will have a hive filled to the brim with sugar syrup and no stores/eggs.
They need SPACE to put pollen, honey, and brood. Its only August. there should be pollen available, and there should be a fall flow started/starting, or soon depending on where you live..
I would stop feeding if it was me, and keep an eye on them. Let them do their thing now that you have given them a boost. If they begin to run out of syrup and are NOT bringing in pollen etc, you can always feed them a little in a week or two.
Theres another thread going about feeding. It is my experience that they don't stop hoarding the syrup, even if theres a good flow. Feeding has cost me time/bees when done excessively.
I never claim to be right, nor do I claim my way is best, I only claim, its what I would do.