LVT ignores the value created by the improvements on that piece of property. It does not ignore the value created by other land/improvements. If my neighbor makes an improvement to their land that makes my land have more value, that increase in value is subject to tax on my land. (Otherwise, the taxable value of land in a city would never increase.)
If I own the only subway station in a city, that's not particularly valuable. If someone else builds a second subway station and connects theirs to mine, the value of my land and the value of the land of my immediate abutters increases. If 40 other stations are built, that effect is further magnified. These physical improvements on other properties result in increases in the value of the land near subway stations, which in turn increases the value of the land of the subway station.
So far you've refused to answer this question many, many times in a row. It's not complicated. See this comment above you: https://news.ycombinator.com/item?id=37568145