Usually that won't be the case, and saves are transferable/work with the previous version.
Example - Saves from v0.05 of Terrene, will work with v0.06.
However, the next patch on my patreon, which is v0.07 is a massive update that finishes off act 1/Lily's story and I had enable a few previously disabled features, which breaks all old save files.
So your current saves won't work with the next update, when I release it.
I have added a skip to lily's training option at the start of the game though, to help players get back to where they were before.
If you ever want to know more, I talk about what saves works/don't in the changelogs I post when I release a new version.