I don't know why this game would have the problem if Seedship doesn't. If you had cookies disabled and have just enabled them, try clearing your cache and reloading this page? Both games use the save features in the same way, and in any case I think this problem is to do with how Sugarcube stores the current game state, not the save system.
I agree, it would be nice if Sugarcube could at least show a "you need to enable cookies" message rather than an incomprehensible error.