I think Kerry is the most interesting one
In the early years of the GAA the dominant team in kerry was Tralee John Mitchel's, the only team in Tralee. In 1927 the team was broken into 3 for competition purposes- Mitchels, Austin Stacks and Kerins O'Rahillys. Kerry also has teams amalgamated from a few parishes, called Divisional teams, which also boost competitiveness. What you end up with is a fair spread of competitiveness across the county. And that is what you need to win all Irelands.
The top 7 teams have between 9 and 13 titles.
Very different to the Cross model. If Cross are weak Armagh probably won't come up with a replacement.
Small point of order here...
The pre-1925 entrants from Tralee were a representative side, Tralee Mitchels, formed by combining the three street league teams, namely Rock Street, Strand Road and Boherbue. 1925-1928 saw a divisional side just called "Tralee" enter (no Mitchels added, but sometimes referred to as Tralee Parnells which was the hurling team from the town).
1928-1932 saw the three streets enter using their street names. In 1932, Rock Street was renamed Austin Stacks, Boherbue became John Mitchels and Strand Street became O'Rahilly's (the Kerins part was added in 1953 in memory of club member Charlie Kerins who was hanged on 1 Dec 1944 after Eamonn de Valera's government refused to issue a reprieve following his guilty verdict in the killing of Garda Detective Denis O'Brien in September 1942, but that's a different story).
It is correct to state that Austin Stack (the man) played his championship football with Tralee Mitchels, often a sore point among supporters of both clubs.
Current leaders of County Championship wins is:
Dr. Crokes and Austin Stacks with 13 each
John Mitchels, Laune Rangers, East Kerry, South Kerry have 10 each
Tralee Mitchels have 9
Dingle, Kerins O'Rahilly's 6 each