You seem to be focusing on the exact details of what the groups believe in rather than the nature of what said groups advocate.
I advocate putting toes to the fire but I do not believe in burned toes.
Right. That's what an ideology is, a body of ideas. I'm separating the ideology itself from its "unintended" consequences. In your simplified example, anyone who does not know that literally holding feet to the fire will result in burned toes is a moron, and anyone who just ignores the obvious consequence is a psychopath. Neither is a political ideology.
But there are more complicated causality issues, like supplying foreign aid. When people can get something for free, to that extent you destroy the producers within that society. For example, sending free food to Africa wipes out African farmers. Was the intent to create a permanent underclass in a society that can never feed itself ever again? Probably not, so I'll leave that out of the political ideology, and attribute it to "unintended" consequences, even if it is both foreseeable and has been the outcome every time its tried. "This time it will be different" and all that.
"Left" is an odd duck. In continental Europe, some still Left from the French 1800s to mean the liberals (lovers of liberty) like Bastiat. Left in Germany is a different thing, in that their division dates to the Weimar Republic. Look up the major parties on the internet. Pretty much all of them had "sozial" (obvious) or "arbeit" (work) or volk (~People's or Popular in this context) or "demokratische" (again, obvious) in their name, and even generally in their politics. Even those that named themselves "Konservativ-" (obvious) or "Freiheit-" (freedom) were championing recognizably socialist policies. You could have bombed the Reichstag and killed no more than a dozen non-socialists. Whether you were a unionist, a churchman, an industrialist, a militarist, a populist or pretty much any other politics, you were a socialist. The right/left split was over nationalism/internationalism. That's why the Nazis were considered right-wing -- they were national socialists.