It will be displayed in the reader's timezone. Discord knows to turn these timecodes into a timestamp that is local to the user.
The timestamp used is around within a week of the day you used the site. If you mouse over the Discord message, you can see the date associated with the message, and if that date is on a different DLS setting than what it is for a reader, it will be off. Since different nations change their DLS at different times and directions, it may be wise to get a fresh copy more frequently around the time that DLS likes to be shoved around.
You can mouse over the timecode in Discord, and it will show a popup to tell you. This is even more useful for the other timecode types, of which they might just say "1 day away" when you want to know exactly what time they are talking about.
This will periodically happen. Let me know in Discord. Maybe someday I'll look into a better hosted solution (and fix my certificate being missing too).