I don't see anything in the instructions that says that. See the instructions for schedule A,
https://www.irs.gov/instructions/i1040sca#en_US_2024_publink1000131491
https://www.irs.gov/taxtopics/tc503
There are also FAQs right on the front page of the IRS sales tax calculator that talk about local taxes and don't mention anything about this.
https://www.irs.gov/credits-deductions/individuals/use-the-sales-tax-deduction-calculator
It can get tricky if you are using the actual expense method from your own receipts. For example, my city charges an 11% meal tax on eat-in meals at restaurants in the city limits, instead of the general sales tax rate of 6.5%. That higher rate is not allowed when using the exact expense method. Or if you take a trip and you have to pay a hotel tax that is higher than the general sales tax rate (a way for cities to charge extra money to visitors instead of soaking their own residents) that is not allowed.
But I don't see anything that you can't use the numbers the IRS gives you when you use the standard method. I would imagine that if local sales taxes were disallowed in some states, the IRS calculator would not give you a number for local sales tax.
