I still think early July, but the lack of cancellations for the first week of June so far is interesting. The last few weeks, Disney had started cancellations on Wednesday. People were expecting that to occur around 4-5PM yesterday, but so far nothing. Another quirk is that some people with June reservations are starting to see their magic bands being processed for their resort stay. And finally, all fast pass+ selections that people made for June/July disappeared last night for an hour. That could mean either they were working on the system to prepare for an eventual opening, or just your regular Disney glitch (glitch more likely of the two).
Now it's possible they are waiting for Desantis to announce phase 2 this week. It could also mean they are looking to open up resorts but not the parks, like Shanghai. It is also possible that they just randomly decided to break from the past month or so of when they start sending out cancellations.
Apparently theres been cancellations now