Even if you gave them the money they want from you, the only contact you would have with them would involve the financial transactions. They would continue to abuse you by shunning you otherwise.
It is wonderful to read about your strength in dealing with these people. They really have some nerve. You hear nothing from them for nearly a decade, and when you do hear from them it's because they want money.
Make no mistake about it. They want you to contribute so that they don't have to contribute as much money themseles. They want you to help make life easier on themselves. But they made their beds, didn't they? Now they have to lie in said beds. You can't cut off family as dead to you, only to go to them years later asking for money and citing said request as your scriptural duty. Idiots.
No matter what, don't give them a penny -- not one single penny, no matter how much they try to guilt you. And I don't doubt they would try to use emotional blackmail either (or whatever other amo they might be able to use against you to try to get your money -- "Gran loves you so very dearly. She talks about you every day and cries herself to sleep every night. You hurt her so badly when you left the Truth. She didn't leave you. You left her. It ruined her life." Blah blah blah.
Stay strong.