I thought it's a joke, but apparently not.
It can be both - transparent, and a tax heaven. And it's one of the most well-known. Sorry, but in at least 2 countries where I lived, if you hear Cayman, you immediately think "tax evasion".
I get that you're offended though - when you see the Swiss - that somehow managed to turn their most shady banking system into a national pride thing - and admired but others too !