Form W-3c for Error in Box 16 & 17 of W-3?

I just filed my Form W-2 and W-3 on line at

Before submitting the data I checked and confirmed all the data on the W-2 and the Federal data on W-3. However, I did not notice that the State Wages and State Income Tax amounts from the W-2 had not been transferred to Boxes 16 & 17 on the W-3. After I submitted the forms and printed copies of the forms I noticed that the totals for Boxes 16 & 17 on the W-3 are $0.00

I was considering filing only a W-3c to correct this error, since the W-2 is correct. However, the instructions for Form W-3c state that you can file a W-3c without a W-2c only to correct an EIN on a previously filed W-3. The W-3c instructions also state:

"If your only changes to the Forms W-2c and Forms W-3c are to the state and local data, do not send either copy A of Form W-2c or Form W-3c to the SSA." (page 4 of the Instructions.)

Do I take this to mean that neither the SSA nor the IRS cares that the state wages and income tax data on the W-3 do not match that on the W-2 as long as the W-2 is correct and all the Federal data on the W-3 is correct?

-- Vic Roberts Replace xxx with vdr in e-mail address.