Disney has been fantastic about processing refunds. They have been cancelling and automatically refunding, starting with the first closing and now on an ongoing basis. And for those that book room-only, they only have to pay a first night deposit and the rest is not due until you check in.
To provide a point for comparison, I was supposed to take an NCL cruise this week that was cancelled (obviously). Full balance (thousands of dollars) had to be paid in full 90 days prior (so I paid in full when I booked it). As the default, they provided everyone with a future cruise credit. If you wanted a refund instead of the future cruise credit, you had to wait until they put up an online form on March 23rd, fill it out, and they will refund you 90 days from when you fill out the form. That means that someone (like me!) that was sailing end of March or early April paid their full balance in December or early January, and will not see a refund -- for the full balance, thousands of dollars! -- until late June.
And to tie this back to WDW operations due to coronavirus, I hope that this situation does not make Disney less lenient in its deposit and cancellation policies. I mean, they could be holding on to much higher deposits. If they made everyone pay their balances (both room only and packages) 60-90 days, they could have more cash in situations like this.