According to Adams (I'm paraphrasing his much more eloquent wording here), the problem that many historians make is trying to track the influence of the Leveller movement and Lilburne through the political sphere. Adams suggests that what the movement represented was a specific political outburst of the democratic impulses which were congealing in the Puritarian dissent movements. Thus, the movement's lasting influene on politics did not come via the political track, but backdoors through the religious track.