Box 16 on my W-2 shows the same amount for both states. Does this mean my income is reported as double?

Here's a fictitious example. I earned 1,000 total, but my W-2 looks like this:

Box 15: state     Box 16: 1000      Box 17: state income tax
Box 15: different state     Box 16: 1000      Box 17: different state income tax

Since both box 16's are reporting $1,000 does this mistakenly indicate that I earned $2,000 instead of $1,000?