I think, it depends very much on the circumstances.
there are also good reasons for either action, IMHO.
As an elder, you have a certain influence on a local level, that may allow you to bring i some more liberal ideas, of course limited by the borders of the WTS world. However, often the WTS (maybe for legal reasons) is very unclear in their directions, and leaves room for the local BOE (example: what is loose conduct, what is exemplary, what is stumbling etc...)
Also you might well be known as approachable and not closeminded, when it comes to certain doubts or questions.
I experience this frequently, that people are more open about their concerns towards myself, so if there is anybody doubting, I may be able to help. However it all depends, if a person is ready, I would not take it on myself to destroy somebodies faith, even if it is false. To awake and learn the truth about the troof, one needs to be ready, and its not easy in the beginning, when all you hoped for and believed in crashes down.
Additionally there are those, who suffer from guilt, because of not doing as much. Also there, as an elder, you are able to do damage control, by helping them understand, what undeserved kindness ( or rather grace) really means.
Stepping down, even though it would be a big release for oneself, would just raise red flags with others, they would view you as spiritual weak or somehting is wrong with you, gossip starts etc. Then your ability to help is very limited.
However, it is hard to officially stand for something, you dont agree anymore, it also bothers the conscience. Its hard to sit through meetings and listen to some nonsense, even harder if you are on stage yourself and have to talk about it.
As mentioned it depends on circumstances, and whom you plan to help to get out (family, friends etc) Stepping down as first step of a fade also needs to be times and planned carefully.
Just my 2 cents,
inbetween