Yeah land value taxation. Even if land is cooperatively managed, it is still useful to charge for the usage of land to ensure efficient usage and prevent mismanagement

Are you referring to your question about my ideals or values, respecting distribution of benefit from land usage?

I'm referring to this one:

ideal that land is natural and should benefit everyone equally.

Do you disagree with this?

I have framed the conversation around my skepticism that Georgism meaningfully contributes to leftism or functions as a leftist tendency

The goal of leftism is to create a better, more progressive society. With that means that the "end goal" of the state must be determined, which means the income, whether monetary/resource based/etc must be determined as well.

You can't have a state that doesn't have a defined input/output. So if you want to meaningfully contribute to an ideal leftist society/government, one such meaningful contribution is solving the government's input/output problem.

Taxing land is one such solution to this problem.

including lands, being utilized socially and also toward benefit that is private.

Under georgism, all land gets taxed regardless of who owns the land, how they own the land, whether it is private or personal, and regardless of whether or not private property still exists.