if its too expensive to trade. and has no merchant usage.. then its demand dies.
check out all the crap coins that cant buy a loaf of bread(random example) in the real world. but all have 21mill coin cap

scarcity is meaningless without utility/function.
emphasis check out all the crap coins with 21mill coincap

dont rely on scarcity as bitcoin saviour of value. otherwise your willing to say kill off utility/function because scarcity will push bitcoin up. reality is it wont. scarcity is meaningless without function/utility

scarcity is about supply.. function/utility drives demand. supply does not drive demand