Amazon Route53 by default does not export BIND format. If you want to do any migration of hosted zones at all, you will have to use the following trick:

aws route53 list-resource-record-sets --hosted-zone-id ZONEXYZ --output json \
    | jq -jr '.ResourceRecordSets[] | "\(.Name) \t\(.TTL) \t\(.Type) \t\(.ResourceRecords[]?.Value)\n"'

This converts this:

{
    "ResourceRecordSets": [
        {
            "Name": "some_other_domain.com.",
            "Type": "NS",
            "TTL": 3600,
            "ResourceRecords": [
                {
                    "Value": "ns-109.awsdns-13.com."
                },
...

To this:

adserver.some_other_domain.com. 	1 	CNAME 	org-296-0f667-dmyt03fffff5xx.domain.com
jita.some_other_domain.com. 	60 	CNAME 	generic-jita-dmyt03fffff5xx.domain.com
vcache.some_other_domain.com. 	60 	CNAME 	vcache-dmyt03fffff5xx.domain.com
...