A split in general can slow your production. A walk away split is going to leave one hive without a queen which will take up to 30 days to get a new queen up and going. Now, if you like the genetics of your target hive to split and you are patient, by all means leave them to their queen rearing from the eggs left. However, personally, I would locate the old queen and put her in the nuc if she isn't that old and buy queen and introduce her in the old hive. Or, if you have some queen cells in other hives that you like the disposition of, use them.