@BranislavZ Thanks for sending the reproduction project. Unfortunately we can't reproduce any issues with the provided project since it's not clear what the scene should look like. The scene has a description text "Issue: the helm is missing the background in one of 2 states", but neither can we see any helm when entering play mode, nor can we find any reference image that shows what the skeleton should look like.
Please send us a minimal Unity project which demonstrates just what is going wrong, with any unnecessary logic removed. Also please share a screenshot what the scene is expected too look like and what you are seeing instead. Note that we don't know your Spine project, and we don't have the time to dig through a Spine project with 15 animations and 30 skins. Likely all but a single one of these skins and animations can be removed from the project without affecting the issue.