If you take cash out to yourself, the cash will become your personal income which is subject to tax.
In US, if BVI paid you share holder dividend, you paid less tax. However, in general it is not a good idea to take cash out of tax shelter BVI entity.
The way to work around this is to use BVI as your expense account. Appoint yourself as a director, buy car, plane and real estate as BVI company asset and enjoy them tax free.
