That's never been true anywhere I've lived. Landlords generally charge the maximum the market will bear. In high-demand areas, letting is highly profitable. A London flat, say, will generally net five figures above the mortgage.
LVT is, definitionally, only high in those places.
Does this help you understand?
Edit 1: We agree rent is a problem, we disagree that your LVT "one weird trick" is effective, and I'm hostile to the trojan-horse-end-of-income-tax which gets this stuff on HN in the first place.
Edit 2: you'll win more hearts without the patronizing/smug rhetoric.
They hike the rent ten percent and say it's because of LVT - if LVT didn't exist, they'd say it was because of the war on Iran, or interest rates, or mercury in retrograde.