For what it's worth, I've also been running into this same issue, and none of the posted fixes have worked. Rebuying the table has no effect, even when keeping it in the same default color, repairing the game does nothing, restarting the game does nothing. Haven't tried a full-scale start from a fresh game yet, due to how long it takes to re-start from scratch and speed through downtime between work days.
Basically, what happens is that clicking 'interrogate' from the table does nothing and doesn't add anything to the action queue, and the suspect doesn't have an interrogate option when I click them.
Out of curiosity, could it be linked to the fact that I'm currently in the second-day event of the detective career? I wonder if interrogation is locked during that event. (I managed to have a sim at level 3 of the career before I even started due to being autopromoted from having A-grades as a teen.)
update: Okay, that seems to be the issue. I started a new game and had a sim arrest a suspect during their second-day event, but wasn't able to interrogate them (the option didn't appear in the social menu, and the table interaction didn't affect the action queue) However, when I had the sim do their next work day, it seemed like an entirely new case had started, and I was able to interrogate the suspect of that case just fine. I'll have to check if waiting until the next day also fixes interrogation in my main save, but this seems like the most likely cause right now.