Now, Jeff has provided an update. Nintendo supposedly has no upcoming Direct presentations planned "at all" right now. It's also apparently told development partners with "big" announcements to not wait around for the next broadcast:
Earlier this month, I reported Nintendo isn’t planning a Direct for June. As an update to that, I’ll add that Nintendo isn’t planning a Direct at all for now. It’s telling development partners not to wait for a Direct even if they have a big announcement.
In terms of upcoming first-party announcements, Jeff says Nintendo will continue to surprise fans - as it did with the reveal of Paper Mario: The Origami King last week. He expects the rumoured games he's previously spoken about to show up:
And what’s coming is Pikmin 3 Deluxe, 3D Mario remasters, and Super Mario 3D World Deluxe.
He says there might be "some surprises" beyond this, but Nintendo may have to wait until it can start doing Directs again.