I've never had any of my sims autonomously "deposed" as club leader, even during five generations of rotational gameplay.
That's why I've assumed that anonymous takeovers don't occur.
The only time a club takeover has ever happened in my games has been when I was controlling the wannabe sim.
Also, I only get the "Convince the leader to step down" interaction when the wannabe leader is friends with the current leader.
I've never formed a club with sims who despise each other,
@rudidoodles How is that playing out for you?
If I were you, I would create a master save and then save rather frequently.
Let us know how your club works out.