Depending on what you think about identity and personhood as pertains to memory and body and so forth, there's a very good argument that Laika 2 should still do a system restore (or—with different implications—make a third body) to recreate the backup of Laika 1 (who was mostly-erased during the walk home), who wanted to meet the rest of his family (particularly the sister).
(Mainly, because that mostly-erased Laika really might not have been on board with the implied final-shutdown here. Of course, there's an open-ended and semi-philosophical issue as to whether it's possible to give him agency at this point, or whether erased-Laika is dead and all you can do is make someone just like him, with varying implications according to how you went about it.)