Are there any repercussions to refusing to sign divorce papers?

No. Signatures are usually associated with agreement. If you do not agree, you do not sign.

That does not mean you ignore the paperwork. Obviously, the document that you are referring to makes a difference  on the type of response that is required.

Some documents require a written response, objection, and/or counter-petition.

That said, it sounds like someone has asked you to approve something, as to form. If you do not agree with the wording, do not sign it. I cannot be more specific without knowing more details.

Hope this helps