stonefalls - ep - dremora pirate
deshaan - ep - the torturers - spawned at redolent loam domen for me

Its real simply, look at the list under the achievement, the first 4 names in the list spawn in the seconds zone, the next four spawn in the third zone and so on.
So the list above is good for Daggerfall Covenant, but for Aldmeri Dominion, replace Stormhaven with Grahtwood or for Ebonheart Pact, replace Stormhaven with Deshaan. The pattern works fine will all three pacts

Cyrodiil and Vet zones are random and could be any of the 16.

The thread linked here has the locations of general spawns. They are confirmed by various players. Faustes, Aremiisia, and Natjur are correct.

Some information in your first post is incorrect:
- general spawns are zone-specific only, not dolmen-specific
- 4 generals spawn per zone, not 1 per zone
- any of the 16 can spawn in Cyrodiil and in any of the veteran alliance zones
- it appears that any of the 16 generals can spawn in the 1st sub-50 zone of each alliance (Auridon, Stonefalls, Glenumbra)
- the same dolmen may need to be closed many more times, not just 5-6 times, for a general to spawn
- dolmen general spawns are random (anecdotal evidence: I once had 3 generals spawn at 2 different dolmens, completed one right after another, in under half an hour)