Heh. So, mostly a disagreement on terms, I think. I would count Social Democracy as a branch of Socialism. In that it implemented (in Sweden, as an example I am somewhat familiar with) not just such good things as you describe above, but also a system of collective bargaining between employer and employee unions, enforced by law and by courts, including codecision rights in questions of hiring, firing, direction of the company, etc. There where also state monopolies, and various level of state steering of what was considered strategic interests.

I would count this as a different, and better, implementation of socialist ideas. Some things where indeed collectivized and nationalized. Private property obviously existed, but there where (and are) strict limitations when it comes to land of where and how you can exclude people from that which is considered private. I.e. there is a maximum distance from the dwelling that can be fenced in and allocated as private space, the rest of the land people must be allowed to pass over. As well as pick berries, fruit, mushrooms, etc. etc. etc. Of course different rules apply for land under agricultural production, but also there the exclusion is limited to what is crop damaging. I.e. you must permit persons to walk in the border between fields, out of growing season, etc.

So, if private property is in our blood, it is sure in our blood in different ways as to what rights we have with respect to exclusion.