I did mean Bridge.

In my experience seniority is a huge factor in the pecking order, more so than anything else. In general I have seen debates among hens added at the same time but rarely outside of that. The Aurora/Hattie rumble being the only such incident. And that still may not have been pecking order related, it may have been a needed attitude correction.
Here is how it has worked for me starting with the greatest hen ever.
Daisy, the greatest hen ever, was here when we added Patsy and Lilly. Patsy was over Lilly in the pecking order so it became
- Daisy (Seniority at this location)
- Patsy
- Lilly
When Daisy passed, Patsy took over and we added Hattie who fit in at the bottom.
- Patsy
- Lilly
- Hattie
The Maleficent and Aurora joined us. When they joined Aurora was ahead of Maleficent.
- Patsy
- Lilly
- Hattie
- Aurora
- Maleficent
Then Maleficent started laying first and took over Aurora's spot. Notice this is only within hens added at the same time.
- Patsy
- Lilly
- Hattie
- Maleficent
- Aurora
Then Patsy passed and Lilly moved up.
- Lilly
- Hattie
- Maleficent
- Aurora
Then Maleficent passed and we added Sydney, Sansa, and Phyllis. The pecking order of the three new ladies was Sansa, then Sydney, and last Phyllis. They tagged onto the bottom of the existing order in that fashion although to be fair Sansa did try to take on Aurora. That was not smart.
- Lilly
- Hattie
- Aurora
- Sansa
- Sydney
- Phyllis
There was an interlude where Sydney moved ahead of Sansa by starting to lay first, but once Sansa started laying she forced her way back past Sydney. Notice again though that was within a same age group.
In my tribe it has clearly been seniority based. Not based upon comb size.