If you are able to you should really visit Europe, because it really sounds like you have the version presented to you by your favorite media. Reality is very different as the many many comments already point out to you. This is mostly for historic and cultural reasons which is hard to understand if you not actually seen it in practice.
> So you also believe the "socialist parties" aren't actually socialist?
Yep! 90% of the members of PSOE are not actually socialists, they only bear the name of it. Take for example the Democratic Party in Italy (PD), it's member of the PSOE, but it has became mainly "a Catholic-inspired, centrist, catch-all party" [1] with sprinkles of liberal individual rights (mostly LGBTQ stuff).
Liberals are not socialists.
[1] quoting Wikipedia here on the definition of the Christian Democracy party in Italy (DC) that ruled consecutively for over 40 years since the end of WWII whose leftist component merged into PD together with the rightmost component of the former PCI (communist party). (https://en.wikipedia.org/wiki/Christian_Democracy_(Italy))
In the same way that the Democratic People's Republic of Korea isn't Democratic nor People's nor a Republic, yes.
Check their programmes.
> Socialism is an economic and political philosophy encompassing diverse economic and social systems[1] characterised by social ownership of the means of production,[2] as opposed to private ownership.[3][4][5] It describes the economic, political, and social theories and movements associated with the implementation of such systems.[6] Social ownership can take various forms, including public, community, collective, cooperative,[7][8][9] or employee.[10][11] Traditionally, socialism is on the left wing of the political spectrum.[12] Types of socialism vary based on the role of markets and planning in resource allocation, and the structure of management in organizations.[13][14]
Go and find any even remotely mainstream "Socialist" party advocating for anything close to the above. They are unquestionably left leaning, but that means more social policies (for the people, like increasing minimum wage, expanding workers' protections, investing in youth, etc.), not seizing the means of production in any way.
Hell, the last seizing of some of the means of production in France happened under the neoliberal, "neither left nor right" (but in reality centre-right) current president, Macron - STX France (currently and formerly Chantiers de l'Atlantique, one of the biggest shipyards in Europe) and EDF (national electricity provider and producer, and owner of all nuclear power plants in France). Under his predecessor, the socialist Francois Hollande, from the Socialist party, there was only a 12% investment in PSA Group (Peugeot-Citroen, which has since then bought Opel and merged with Fiat-Chrysler to become Stellantis).
