In that interview Mr. Cook says "We’ve said at 40 percent, we’re not going to bring it back until there’s a fair rate."
I wonder what he considers a fair rate?
We're not. The "Double Irish", "Dutch Sandwich" and other arrangements are about funneling the maximum possible amount of revenue through subsidiaries which can do tax-free or tax-deductible payments and transfers to each other, until finally the money ends up on the books of a company whose tax residency is Bermuda or the Cayman Islands, both of which have no corporate income tax.
As of a few years ago, it was reported that Google had gotten so good at this that 99.8% of their revenue outside the US was showing up in a subsidiary with Bermuda tax residency.
So that money wouldn't be "taxed twice" if brought into the US -- the whole point of the arrangement is that it hasn't even been taxed once yet.
Just like a Comcast monopoly in a small rural town the US government without competition would continue to soak up more money and spend it on increasingly useless things.
Meanwhile, if Apple wants to bring this money into the US, well, they can do what the US tells them to do when it comes to taxes. Apple has benefited enormously from services and infrastructure paid for by everyone else's taxes, and shouldn't get to leech off that without having to play by the same rules (and I say this as someone who pays a higher percentage of my own income in tax than Apple would even if it repatriated all its profits).
Overseas profits will end up paying for corporate infrastructure and jobs elsewhere, penalizing global activities by taxing profits which do not occur in the US is not a very forward thinking strategy for the US Government and it's why we will continue to get killed in trade with deficits until it obliterates our economy.
If those profits are never taxed, they won't. Of course, to avoid them being taxed you have to leave them sitting in accounts in Bermuda and the Caymans where that money can't be productive for the company either.
by taxing profits which do not occur in the US
The US isn't asking to tax their overseas profits. If you can't make your argument without openly lying about what's going on, I don't know how you can expect to be taken seriously.