If it is possible, be at least the first, to implement Leela Zero for online analysis and engine challenge. Yesterday it proved to be strongest among engines, only to make the gap wider in future.
Like 7 pcs tablebases, it will attract users to website.
(Lets invite AI to play and it might decide not to smack us when Skynet arrives)
Nice idea, but I see three problems.
1) Leela needs quite a special hardware to work properly. I doubt whether Lichess has it.
2) I would wait with announcing the new king... sorry, queen. It was just one tournament. Maybe the TCEC 15 Superfinal will tell us more.
3) Of course, your last sentence is a joke, but it seems unwise to project human reasoning on AI. If it really gained consciousness (which won't be possible for long, maybe never), it could understand allowing it to play as a sign of weakness. Or it could, simply, not care at all.
It could be fun although server costs would sharply increase. I wonder if
http://kontrachess.com would do such a thing...
