Yes and no. Beginning with v0.10, you're in Part 2 of the game. So all earlier content is Part 1, and saves from that don't work with this Part 2. To continue the story, start a new game with v0.10 and just continue as normal from there. (After choosing to start a new game, the text on screen even reads "Next morning" or similar, so it's clearly continuing from before, which you can also see as you continue through this release's content.) I would keep a copy of v0.09 and saves from that (and the 2021 Halloween Special) if you still want to be able to look back at that stuff at some point. But for v0.10 and on, it's a new game effectively, but continuing the storyline from the end of last release.