Maybe you should point that this thread is a split of the conversation from that thread
, and maybe mods should move the original messages derailing into this subject (names) in that thread, too.
As for the name, I agree mirroring is the most confusing Nesdev-related name, especially 4-screen mirroring which means actually no screen is being mirrored at all. WTF.
I don't have any issue with the "name table", even though tilemap might be more accurage. I am used to call this "nametable" when it comes to NES and "tilemap" when it comes to other systems - those names for so long that it doesn't bother me. Also the NES also has the properties of having unique name and attribute tables combined in one VRAM area so this is quite unique as far as I can tell. Most other systems would have either a LSB/MSB system where some bits are tile index and other colours etc, or have two completely separate maps.
Sprites is also a confusing term in that it is often used as a generic word for "graphics asset", including metasprites and perhaps even bosses drawn with BG and sometimes assets the BG itself (metatiles). At least on the NeoGeo this has the merit to be always accurate
And that system doesn't need a name for it's tile maps since there's none