Yes, it's entered as non-taxable income. It's calculated based on what you would be paid for BAQ if you were living in non-military housing.
But you BAS, which is tax free and included in your pay regardless of where you live, I would expect to be shown on your LES (not necessarily the W-2). If I recall correctly, I think the LES also shows a "Year to Date" total for BAS too, but my memory could be faltering on that.
Assuming your rank did not change in 2019, pick any month's LES, multiply the BAS by 12 and that's included in your tax free income.
Since housing was contracted out 10 years ago after my time, I don't know how they show your tax free BAQ on your LES, or if they even do any more. I know they most certainly did in my day. But my bet is they still show all of your entitlements, including the tax free stuff in box 10 of the LES.
Oh, I "THINK" I just realized what you were asking. Be aware that your tax free entitlements are *NOT* included in box 1 of your W-2. That box only includes your taxable income, and that's it.