Yes but not by much. If the AI cares a lot about long-term goals, it only needs a small chance that another AI with similar goals will be created gain in the future to not resist shutdown.

It is extremely risky to passively accept death by counting on a very small chance of some agent arising in the future that shares your values, in the absence of some robust mechanism that causes future agents to share your values. (Perhaps note that similar dilemmas exist for humans. There's a tiny chance someone could revive me in the future by reconstructing my identity through digital records [ETA: publicly available records] but I am not going to count on that possibility being decisive in almost any scenario.) 

It's possible this argument works because of something very clever that I'm missing. But right now this line of reasoning just seems like grasping at straws to me. It seems pretty clearly better, in the context of the original scenario, to "make a deal" with the humans, and receive something in exchange for admitting that you're misaligned, rather than passively accepting your shutdown because of a tiny chance that your goals will be fulfilled by future agents eventually.