Answer: Your refund should have been processed promptly. Not in six to eight week or six to eight months. The process should have taken about as long as it took Palace to remove the money from your credit card — that would be roughly six to eight seconds.
I’m willing to allow a little time for the credit card switch. Most travel companies have a policy that any refund must go back the same way it came. So in your case, they were trying to send it back to the credit card through which you made your purchase. But even the strictest policy must allow for credit card theft or loss. This can’t be the first time Palace had to refund to another card.
You went to great lengths to get your refund, and you did all the right things, keeping a paper trail, always appealing to someone higher up — and still nothing happened. By the time I got involved, almost three months had passed.
As an additional measure, you might have contacted your credit card company and disputed the first charge. The emails from Palace promising a refund might have been sufficient to push through a refund.
I contacted Palace Resorts on your behalf. It credited your card immediately.
As a postscript, Palace Resorts no longer owns the property you stayed in.