Taking something nobody plays and moving it somewhere else doesn’t address the reason why nobody plays it.
People not playing minigames isn’t an issue of design, it’s an issue of culture. In the early 2000’s people treated games like World of Warcraft and Runescape as online adventures full of mystery and wonder. Now that wikis are as robust as they are, the culture has changed and most players look at MMOs with only the end goal in mind and how to most quickly reach it. They look for efficiency now, not wonder and adventure.
Doesn’t matter where they move these dice games or what rewards they offer, unless it’s a meta method for advancement, nobody will play it.
Also, it would thematically make more sense to put these games in the taverns, not the GE.