The question is largely yes, and there are some qualifications to that.
Double-dips work best with treaty countries, because the income you generate in the intermediate country is exempt surplus that can be brought home free of tax. From a tax planner's point of view that's the ideal result. So with our tax treaties we like to think and believe we have a good exchange of information procedures, and if necessary we can obtain the information necessary to validate what's being done.
You can do a double-dip with a non-treaty country. It doesn't work as well because the income generated will ultimately be subject to tax if and when it's brought home. In that case there may be more issues or greater issues with exchange of information. But in general terms, if they're limited to treaty countries, exchange of information is not an issue.