The author probably has a very superficial understanding of economics. It's economics 101, like VAT, the cost will be passed to BOTH the renter and the landlord. The portion of each is dependent on market dynamics and hard to calculate.
https://en.wikipedia.org/wiki/Tax_incidence
It's literally econ 101 that says landowners will bear the burden of a land value tax.
Supply of land is perfectly inelastic and land value tax is not a marginal cost of production so does not change MR=MC.
renters rent apartments/houses, and these things are very elastic.
the cost increase is shared between renters/landlords in the ratio of their elasticities. Whoever is more inelastic, will eat the cost.
Inealstic renters will pay up increased rent (like techbros in SF are eating up all rent increases).
Elastic renters will get up and move to Texas, if renter swill hike rent.
Elastic landlords will lever down and decrease number of low margin properties like rent-controlled properties, or unprofitable properties.
Inelastic landlords will eat the taxes and take a hit to profitability.
You can feel free to solve the profit maximization problem of the apartment owner if you want.
A conversation with an LLM where you paste this exchange into the context is likely to clear up the reasons for your misconception.