Mortgage payments tables list the amount that goes towards the principal and towards the interest. But since the bank is going to get whatever it is going to get, why should I care about this breakdown? Aren't PV and FV the only parameters I should care about?
If you are in the US (or some other places) then the interest on your mortgage is (sometimes) tax deductible. Principal repayments are not. Therefore you need to know how much of your payment is interest and how much is principal, in order to be able to report the interest amount on your tax return..
By knowing the tax deduction you will be receiving in future years, you'll be able to calculate you after-tax net-income, which will change every year, because of the changing breakdown into interest and principal.
The one value that I see coming from these amortization tables are that they show what will happen if you pay ahead and essentially jump down the table. It allows you to easily calculate interest savings from paying ahead. It's also a nice visualization of how much the early payments are going mostly to interest. Other than that, I agree, there isn't tons of value.