You conveniently cut out the next definition in your page where it says that it is related to liberalism.

And the leftism ideologies isn't simply being open-minded. It is actively promoting new ideas and policies that benefits the citizens. This is why we use the term progressive.

Liberal is firmly center right on the political compass and even the definition you post ad nauseum is indicative of that.

I've noticed that it's generally a bad idea to discuss ideologies by label. If I talk about soviet communism, am I talking about what Lenin and Stalin practiced in the USSR, or the ideals from which they started and mixed with pragmatic realist policies, eventually allowing corruption to pervade?

Talking about liberalism or leftism as if it is a unified, monolithic ideology only confuses people. Even specific movements (say the Christian nationalist movement in the United States) there is still some ambiguity. They want the US to be a Christian nation, but don't agree on which denominations would be privileged (say, can serve office), are legal among citizens or are criminal.

When I talk about ideological principles and want to be clear, I talk about specifics. e.g. Everyone should be equal under law. Minors should have the same civil rights that adults do. Street drugs should be decriminalized, and drug epidemics should focus on treatment and mitigation. Force should be a last resort by law enforcement, not used just because a civilian has an unknown object in their hand.