Today's patch (Feb-12-2024) has finally FIXED this for me!
I abandoned quest and started over. After talking to the statue, the quest proceeded ("speak to Ibrula"). Speaking with Ibrula completed the quest and gave rewards as it should.
@MyNameIsElias -- Did you abandon and restart the quest?
I thought to have read in updates that this issue was solved but it isn't, see https://forums.elderscrollsonline.com/en/discussion/652293/pc-mac-patch-notes-v9-2-10#latest as I still cannot talk to the statue. I have submitted a ticket about it.
June 2024 can't even press to interact with him still bugged for me since winter, no one cares about this game anymore
The NPC doesn't leave the statue after she gets to it, so she won't follow me back out of the room.If that does not work, sneak back to the entrance of the room and have the npc follow you again, before sneaking back to the statue. You may have to repeat this a few times.
Yes this quest is still broken 6 months after you made this post, over a year after it first broke.