The first OVA episode was released on September 25, 1992. It's too obvious of an anniversary date not to announce "Toei Muyo!". I think if they let the 25th go by without a word, then it's time to enter full-on doomer mode.
I'm gonna have to throw a
C-C-C-C-C-C-COMBO BREAKER! into the equation here.
Hear me out, folks. September 25, 2022 is a Sunday and most anime studios and video game developers in Japan tend not to announce new stuff on Sundays unless there is an event going on. The week before that also happens to be Silver Week (Which doesn't happen every year, but this year it's a thing), which combined with Tokyo Game Show being the week before
that lowers the chance of an early announcement, especially if they're waiting for closer to the date of Tenchi's big 3-0.
Due to those factors, I think that we should give it an extra week (October 2, 2022) before considering going into doomer mode. If anything, I'd have to guess that whatever "Toei Muyo!" ends up being would be announced between the 26th and 30th. If we don't find out by then,
that's when we should start worrying.