Yeah...lucky.
Except this isn't the realm of contract law, and I didn't say what you were suggesting. Instead, I asked clarifying questions based on reasonable inferences from your post. In any case...
From THIS post, despite it not simply saying 'Yes, there are Christian movements, and they can influence their members', I'm going to assume you have no issues with that statement.
It seems a minor leap to then suggest that SOME Christian movements were important in the abolitionist movement, and even more than the Christian movement being important, the rationale given within the group for mobilization was based on theological arguments.
This doesn't speak to 'all' Christians, by any means, but to be fair very little does. Just as it's almost impossible to say much about 'all' atheists.
Neither does it suggest the progress of those groups from being supportive (or at least not unsupportive) of slavery to being abolitionist was smooth or simple.
The original comment you made that I responded to was 'It is wrong to ascribe religious motivation simply because the people involved were nominally followers of a particular religion.'
Equally, it's wrong to deny it where an organized religious group discuss a topic along theological lines, and come to the conclusion that they should be abolitionist.
Meh...in any case, if you're interested in this specific topic (rather than just the more general one of the OP) the following links might be of interest. They provide some detail on the history of this you won't commonly see/hear about.
Quakers and Slavery: The Development of an Anti-Slavery Society (seu.edu)
Slavery in the Quaker World - Friends Journal