Personally looking into things; I suspect we won't get a general direct (or even a mini direct at all) until past April 2nd.
During the gap of the announcement of the Nintendo Switch to the Nintendo Switch live presentation; the only "Nintendo Directs" that occurred at that time was that of single-game based directs that covered and went into matters.
I think in theory, Nintendo likely doesn't want to have a regular, a partner, or a Mini direct; until the dust clears and they are able to have the rollout of the Switch 2 hit the road more fully.