Another data point.

Refund requested mid-March for award bookings for LAX-NRT-SIN / SIN-HKT / BKK-SIN-NRT for flights in early April and this was before things really started to shut down and was told would be refunded within a week for the tickets.
Finally today 7/9 I received the redeposit of miles and refund notifications back to my credit card. This only occurred after I reached out to the US reservations last weekend to push for an update since calling the 800 number and general email seemed to be an effort in futility.