I'm not really invested in the Splatoon franchise, so I didn't watch the direct. While there have been some mixed responses, fans generally seem to be excited. I hope they enjoy the game!
Looking ahead, I think Nintendo will be in a good position to hold a September general direct. Besides the quick headline segments, they can have 2-3 "spotlight" announcements at the beginning/end of the presentation. These would probably end up being early 2023 games, with the exception of Metroid Prime Remaster coming in November or December. It also seems like a good time to show the new fire emblem if it's still on schedule.
Zelda is a wild card for me -- I think it depends on whether it release in early spring or closer to summer. Still, that game would be huge enough to warrant it's own presentation outside of a general direct. I remember in the September 2021 direct, there were a few announcements of later presentations, such as the Animal Crossing DLC. I wonder if we will see something like that for Zelda? This happens only if they plan to talk about it before 2023 begins. With so many "if" statements, it's hard for me to predict anything about it.
Of course, June taught me not to take anything for granted, so it's possible that we get something different. Whatever form it takes, the next wave of first-party news is getting closer every day!