Now our family unit is not cash starved and can afford to wait, so in the past, before I started using the US Free Filing system I described in another comment, I always mailed in both US and AZ income tax forms. Sometimes it took a couple of months. The US form I think was pretty prompt occasionally.

Now we're also not talking a lot of money. +- a couple of thousand, usually less. But you would have to compare apples to apples which would be the e-file fee vs. the compounded inflation rate for the time difference in receiving, presumably, your refund. I suspect it's a wash.

You need to also factor in the ${turbotax} fee and/or the accountant, as well, if you don't actually fill out the forms yourself.

Fun fact: We moved from AZ to GA last year, and dutifully filed in each state. I am pretty familiar with AZ due to filing our own taxes for most of 25 years, but GA is much more complex, verbose, and quite stupidly, even aggressively, vague.

I produced a spreadsheet for my wife to evaluate that presented my first time interpretation of the GA partial residency filing. We're both B.S. ChE, she's an MS ChE, I'm a MS App. Math. So we know our numbers. The tables were low risk, low refund, medium risk, medium refund, high risk, high refund. She chose medium risk. Fine with me.

Both AZ and GA refunded something like 50% higher than what I filed and expected.

Some sort of emoji here.