I can find no better place one might like to move than the Cayman Islands

I have travelled there twice, partially to scope it out for a possible move. Here are the downsides:

• It is very small, both in terms of geographical size and population. There's just not a lot of places to go or things to do.
• At the same time it is not dense, so you probably need a car.
• It is very touristy. Of the things to do, most are tourism-related.
• The tech sector is not well-developed, so a tech person like me would probably end up working as a random IT consultant for a bank or law firm or something.

As far as the upsides, you got them mostly right: strong economy, low taxes, good climate, a generally tranquil feeling of life. Overall I think there would be something enormously psychologically beneficial to live in a place where the main political debate is what to do with the budget surplus.

My takeaway is: CI is a great place if you 1) are in the finance sector 2) like "sun and fun" activities like swimming, sailing, and diving 3) don't have big life ambitions (e.g. start a tech company).