Yes, your demo progress is meant to carry over - graveyard, stockpiles, tech points, and story position. If Continue is missing on Windows, copy the matching .dat + .info pair by hand. On Linux/Steam Deck the demo and full game live in different Proton prefixes, so a manual copy is usually required.

1Decide First: Keep or Start Fresh

Keep the demo save if you already built stations, stocked materials, or banked tech points - players report sitting on large point piles at the demo's soft end.
Start fresh if your demo save carries a known bug (tree-multiplication glitch, corpse stuck in hand). Several players preferred redoing the opening over inheriting a broken world.
Do not uninstall the demo until the full game shows Continue and you have a backup. On Linux, uninstalling can delete the Proton folder holding the only copy.

2Windows / Normal Steam

3Linux / Proton / Steam Deck

This is the common break: the demo and full game have different app IDs, so Proton keeps two separate Windows drives. The full game cannot see the demo save until you copy it.

Demo already uninstalled? Check the Recycle Bin, another machine, or Steam Cloud first - the prefix often dies with the uninstall.

4Consoles & After It Loads

PS5 / Xbox / Switch / Switch 2: publisher messaging said demo saves carry on all consoles. Install the full game on the same account and same box, look for Continue, and do not delete the demo's save data from system storage until the slot appears.
Pre-order extras: sauna and outfit failed to appear on some existing saves; a launch-day hotfix targeted that. If still missing, let the patch apply, then load the same slot again.
Still in the demo? It soft-ends after the first Town hold - you can keep farming before following the "go into town" prompt. Several players stocked materials and tech for launch day.

Mistakes to Avoid

Continue still empty after copying? The files are in the wrong prefix or the numbers do not match. Recheck folder names, then copy again.