That's a cool linkages between Land & Game.
Like how the Guilds have a Battle "Hosted By" sort of connection.
You could possibly craft in Land specific Battle Conditions available in your Arena.
Or Arena specific Match Potions that could be purchased during the Tactics Phase.
Arenas could also be Element Specific etc.. Like a River Arena is a Water Element Battle.
Excellent grooming idea 💡
Love it. There are tons of ways to extend this.
Very true