Interesting report.
Regarding the accidentally forgotten equipment... For the sake of the post, it's good that you didn't write about what you didn't have, but otherwise no worries

... On Friday during the ascent on the eastern ridge, one guy overtook me so fast that everything was smoking behind him - without crampons, ice axe, helmet, backpack

... I didn't see poles either. I'd say a local, as he confirmed that he made the track the day before. I believe someone here knows him. I've already met him for the second time on this path.
Although I admit I felt a bit silly when he overtook me like that, me slowly going up with full gear

, there were some nice steep slopes that I personally wouldn't even glance at without crampons and ice axe. A slip down would be looooong... And he just up and down Storžič like that
Anyway, I stick to my opinion - better one more piece of gear.