Lots of ways to do it, but the problem is that bringing the dollars back from Ireland can be tricky because those dollars need to be moved through the legacy banking system.
Bitcoin doesn't have that problem.
Suppose you have a business that's licenced in NY, but you want to keep all your profits in BTC.
No problem - in addition to your US corporation, register a corporation in Bermuda (or other suitable jurisdiction) that holds or purports to hold some kind of IP.
Have the US corporation license the IP from the foreign corporation, with the fees to be paid in BTC, at a rate that coincidentally means the US company is barely or negatively profitable (this is how Hollywood makes sure all its movies lose money no matter how successful they are).
Foreign company accepts the license fees and pays them out to shareholders as dividends. No interaction with the legacy banking system is required.
Tax avoidance FTW.