This Valdis Story is not the frst story! There is a first Valdis Story, and I hope they put it in the pack os extras, just like they did with the first version of Spelunky.
Endless Fluff have a very interesting art-style and they can delivery good gameplay to their games too, so, more of VS would be really nice.

Just posting here would do no good though. I recommend you get in contact with them instead. I did earlier when I wanted a Steam key from my kickstarter pledge and they responded, quickly and friendly.

The first game seems to be available on their website for free.

http://www.endlessfluff.com/index.html

As I recall, the old Valdis Story was a demo version, and the story is never concluded in the game, maybe I'm mistaken?

Correct, the original was scraped when they got funded for this one. They say they won't continue due to technical problems with the original project.

Perhaps they will remake it one day.