Atlas Masters <-> Map Tier

I understand that the Atlas Masters will spawn around the Tier of my last done (opened or completed btw?) map.

But I am wondering if and how the Map-Tier affects the Master?
Is there any benefit to have a Master in a high Tier map? Something like Niko has more sulphite sites in it or Alwa's Incursions are more likely to be good ones (=good room changes/upgrades)?
If not then it should be better and faster to do one's dailies in low tier maps.

Zana - the choice of mission Maps is within the current Map tier +-1. So in a T15 Map, Zana can give T14, 15 or 16 missions.

Alva - the level of the Temple is average of all Incursions +10, capped at the highest level Incursion you completed. So you can do many mid-level Incursions, then do a T16 Incursion, for a T16 level 83 Temple.

Niko - you get more average Sulphite the higher the Map tier.

Jun - the Syndicate members drop higher level items, some Veiled mods are restricted by item level. The Safehouses becomes higher level.

Einhar - some Beasts only appear in higher level Maps. The spider that opens a portal to Fenumus is T10 or higher, the tiger for Farrul is T13 or higher.

Yiha, thanks alot for that perfect answer!

So what is the perfect Tier of map you folks do right before daily reset, taking into account all the information above plus the higher map-costs of higher maps?