They did say something like that. Indefinite and they are automatically cancelling reservations within the next 7 days. So, cancellations on a rolling weekly basis.
“If no action is taken by you before your check-in date for arrivals during the closure period, Disney will automatically cancel your reservation within 7 days of the original check-in date and process any refund due to the original form of payment.”
Edit to add:
@Krandor beat me by 1 minute! ;-)