Ok so up the drop rate and have Linkshells galore running around with their new shinies. How does that give a linkshell the epeen they are looking for? Difficult fights downed by the first Linkshell, using their own thought out strategy,
is where the competition will be. Increasing the drop rate just allows any linkshell that gets lucky(or class stacking lazy) a new shiny which diminishes the value or epeen effect of it. Most of XI's epeen effect came from time consuming and luck based mechanics that made you a niche for having such a gift. Kraken Club was not one of the most expensive items because it was easily obtained.
The epeen effect among LS happen when they have something to boast about over the majority of others.
Yes the system in place for those fights(ifrit, moogle) is very annoying and should be changed. However, both XI and XIV are both luck based and each depends on the person telling their story.