How about we rename Boolberry to Boolcoin?
Bool reprents the 0 or 1. It is more or less like Bit.
If you say one Bit, it would be a 0 or an 1.
If you say one Bool, it would be a 0 or an 1 as well.
Does it make sense?
Are you fucking serious?

We have gone through this name-change trauma twice already, it was hugely contentious and ultimately pointless. It was BBR's "Brexit" moment - "Boolberry" won on both occasions, it's settled.
The name is fine, leave it alone. Life's too short.