Hello Doc,
The water should of course not already be standing on the glass, but I don't necessarily think water ingress during heavy rain is the most important criterion for or against a low threshold...
But it should be, because "derstefanm" or the parents' window fitter is actually right. In "nordanney" it is probably not a problem because there is enough space under the bangkirai for the water to drain away.
There are quite a few window fitters - including ours - who explicitly point out this problem and get a "liability waiver" in case their concerns come true. Because DIN 18195 says at least 15 cm above the finished floor covering - so above the terrace. You can reduce it to 5 cm,
if a drainage channel with a drain into the sewage system is present or if the terrace is covered.
From practice: some time ago we looked at a used property where a balcony had been built on one side in the attic and the access to the room behind it was sealed off with a door threshold (sliding door). Despite the balcony being covered, water stood in the room; very easy to see because night storage heaters were still installed in recesses behind the panes inside the building.
By the way, why was an external window sill installed on the terrace door in your construction project?
Rhineland regards