If an estranged family member used a picture of another relative to contact you, would you be more or less inclined to talk to them?

I would look at the contacts in which that picture is used. If it's deception and manipulation, an ill intent move then I will be upset.

However, if they come clean and want to mend and rebuild with and sincerity then it may be okay. Because that person may have taught the door is closed and only way to open it is find another means.