Instead of talking about leaking messages talk about contingency planning, and then the narrative changes from a negative to a positive.
Schools are an easy example. Right at the beginning they were asked to look at ensuring a provision was in place for children of keyworkers ahead of potentially closing the schools. Then the time frames worked around school terms. What is needed to open schools back up, in any capacity, after Easter. Then from 1st June, then anytime before the summer break, and finally, what does September look like. That is all sensible planning that is very different for different schools and age groups, so entirely appropriate that it is looked at from a local level.
So when schools/colleges start talking about planning for reopenings in June, that's not because of leaked messages but simply looking at the next possible point and planning accordingly.
The logistics of any return to any kind of normal will be huge, and it's not unreasonable that many will be thinking of that well ahead of time.