State tax filing

Yes, in most cases this would be the same thing. There are few States that it would show different information in this. If you have any questions that are related to your particular State and if they treat for whatever reason Total Distribution and State Taxable Amount differently, you can go to that State Dept. of Revenue site and should be able to get full clarification on this (as it will also depend on other information contained on the 1099-R that I am not aware of). But for the tax system, yes.