This is still the law of the land as far as I know
https://www.fs.usda.gov/Internet/FSE_DOCUMENTS/stelprdb5363715.pdf
As usual my editorial comment is that whomever developed the brochure either deliberately intended to confuse recommendations and restrictions or just was not very good at brochure creation. The last page lists the only restrictions. LNT guidelines are only guidelines that may buy you good karma but restrictions could buy you a ticket if you ignore them.
Note there is one last category not predictable, which is WMNF supervisors temporary order which can close camping in any area of the WMNF, they do not appear to need posting anywhere except at the actual location. I have not heard of any recently but were used a lot on the bootleg sites along the ridge north of the junction of the Liberty Spring trail with the Franconia Ridge Trail.
The only campsite I know of which is used frequently by AT thru hikers in the Carter Dome area is the one between Carter Dome and Mount Height, it just barely meets the below treeline rule and is just a wide spot in the woods. The trail maintainers dont like it and there was a period of time where it got brushed in frequently.
I am not aware of any reliable water source near the summit. Zeta Pass may have some wet spots but a hiker may have to head down Carter Dome trail to get to the drainage stream. That ridge in general tends to be dry.