When you are the owner/user and not the landlord you should be paying the taxes because most of the taxes are for use in the local community and most of that is schooling. The landlord gets no benefit from the majority of that stuff. The tenant does.
How does he benefit from the rental property? He doesn't live there an use the services. If he lives somewhere else in the town he pays taxes based on that. He charges rent for the other location to cover the taxes because he doesn't benefit from those taxes. The renter does.
But he passes the cost of those taxes on to the renter because the renter is the one benefiting from the schools/roads/police/fire/etc that the taxes fund.
That is often true. A vacant rental still owes the taxes though. I can only say my time as a landlord I have not always covered those costs with rental income. Sometimes the property is empty or doesn't command enough income to cover all your costs.
I actually don't understand why the laws are written that way, apart from the political goal of causing W2 workers ("suckers") to bear a disproportionate tax burden. A W2 worker incurs expenses that are necessary to earn their income, including food, transportation, clothing, and healthcare. If they were able to account for these necessary expenses as a business does, the expenses would be directly deducted from income.
And that's not even getting into the S-corp self-employment-tax dodge.
For one, no, those expenses aren't deductible even if you do itemize. They're considered "personal expenses" even though they were necessary to earn that W-2 income. If you buy a car and use it at least 50% to get to 1099 client(s) you can deduct that portion of it (including accelerated depreciation). But if your income is coming from W-2 job(s), you simply cannot.
For two, the standard deduction is better seen as a personal exemption (which it subsumed), giving everyone a level of income that they don't have to pay tax on. Especially given that business expenses generally flow through as direct subtractions regardless of the standard deduction.
There is definitely tension between allowing deductions to account for actual income fairly, and the resulting (de facto) requirement that everyone do minutiae accounting for their personal finances.
Unless your property taxes are over $20K per year, you can? It's just most people don't because their standard deduction is greater than what they have records for itemizing. https://www.thebalance.com/property-tax-deduction-3192847
The link you provide points out the SALT deduction cap of $10k. With the standard deduction up to $12k+ now, if your only itemized deduction is your property and state income taxes, itemizing isn't going to be worth it.
We were so close to losing the cap on SALT deductions with the Inflation Reduction Act; I'm super bummed it didn't make it into the final bill.