[solo]

Yes, regeneration stops hit point loss, which is one effect of disease, but I believe additional afflictions are random events.

Are you saying that only certain random events are influenced by luck?

I have tested this, but not exhaustively. I gave two diseased units a Ring of Regneration each to stop hit point loss. For one of them I added a Lucky Coin. The unit without the coin started piling up additional afflictions, whicle the one carrying it only received 1 additional affliction many turns later.