Because I had concerns about possible snowfields and use of winter gear, and you can't rely on very different opinions on the forum at all, I asked about conditions on the path at Aljažev dom on Sunday evening. The caretaker told me the path is already nice. To my question about necessity of winter gear she said it's not needed. On Monday we set off towards Škrlatica at half past seven in the morning without winter gear. After exiting the forest, still before bivak IV there's a large snowfield, which in current conditions (relatively warm weather, some rain) is passable with good boots, with which you kick steps into softened snow. It's also possible to bypass it without problems. Same for a couple smaller snowfields higher up and the larger one right below the scree before entering the wall. We crossed the snowfields on descent quickly and funnily by sliding with boots. All without winter gear. If it cools down, which currently doesn't look like it, and snow freezes, then safer with winter gear-crampons. Although snowfields could still be bypassed.
The path was very much to our liking. We needed 5h relatively slow pace with lots of stops.