I bought GOG edition of Deamfall: The Longest Journey.
Your per-chapter save files are made up of pairs of *.tlj and *.tga files.
My save files are located not in user's AppData/Application Data folder, but in the program folder: "GOG Games/saves/checkpoint.sav"
And the size is also different. Mine is 287KB while your tlj files are 719KB.
Since you posted on gog.com forum, you must also have gog edition of the game. I am afraid gog.com modified their save file structure, 'cos I bought it later than you do.
These saves are for The Longest Journey (the first game), not the sequel Dreamfall: The Longest Journey.