In some versions of socialism, not all. And technically in a georgist system, depending on implementation, all land is considered the governments land, it’s owned by the common people. From there individuals pay society for exclusivity to a plot.
It would only have a minor impact based on the size of your house+yard, nothing more. It’s in no way progressing us towards socialism.
I’m not an economist, so my understanding is limited, but my understanding is that a LVT results in the landlords themselves paying the tax instead of tennants. The end result is a giant hit to the wallets of landlords across the country. That’s a very good thing, and does indeed get us closer to socialism. Less landlords, less landlord power, the better.
Additionally, even if it only slightly effects land use efficiency (which I disagree that it would be slight) any increase in efficiency will increase the proportion of land that is for sale and therefore reduce prices.
And keep in mind, this is only part of the solution, not the sole solution. Zoning still needs to be fixed and there needs to be massive government investments into co-op housing developments.