An unfinished basement is still adequate for storing a freezer. Unless by "unfinished" you mean one without walls or a floor.

I meant the opposite. I do indeed have a (very) unfinished basement that gets a bit wet with a freezer. Many people won't want a freezer in their downstairs living room. At least that's how I took the comment.

My basement is 80% finished, but the freezer lives in the unfinished part. But "unfinished" is relative, I still have concrete floors and walls with insulation on the walls, just no sheetrock and bare rafters on the ceiling.