Why timing matters less here
Unlike a chronological feed, TikTok keeps testing a video with new audiences long after posting. Videos routinely take off two or three days later.
That makes the exact hour of publication a minor variable compared with the hook and the watch time.
What your own data says
Your analytics show when your followers are active. Use it as a rough guide rather than gospel, because most of your reach comes from non-followers anyway.
The genuinely useful pattern is consistency. Posting at roughly the same times trains a habit in the people who do follow you.
Where timing does matter
LIVE selling, where you need people present. Reactive content tied to a news moment. Product drops. In those cases post when your buyers are awake and free, which is usually evenings and weekends for consumer brands.