Because the AMT tax is based on your income without deductions. Your regular tax is based on income minus deductions, and that can make the taxes owed either less or more than the AMT tax.
Here’s an example with made-up numbers and rates to simplify:
You have $100K in income, and $20K in deductions for $80K in taxable income, and are in the 30% tax bracket, and the AMT rate is 22%.
Regular tax: (80K) * .30 = $24,000
AMT: (80K + 20K) * .22 = $22,000
Since regular tax is higher than the AMT tax, you pay the regular tax.
Now prepay an extra $10K in property taxes, so your deductions are now $30K, and taxable income $70K:
Regular tax: (70K) * .30 = $21, 000
AMT: (70K + 30K) * .22 = $22,000
That extra $10,000 in deductions made the AMT tax amount higher than the regular tax, so you pay the AMT amount of $22K. That extra $10K, which normally would save you (10K * .30) = $3K in taxes, saved you $2K, but you lost $1K to AMT.
So if you are not in AMT yet (that is, your regular tax is higher than the AMT tax), you will get some benefit to the higher deduction, but at some point AMT tax becomes higher and beyond that you lose the benefit of the deduction.
If your AMT tax amount is already higher than the regular tax amount, the extra deduction gains you nothing.