Maybe you should report yourself. Like the rest of your version of history the above bears no relation to reality. In fact Ireland did nothing of the sort. It was a personal and ill judged action, one of many in his career (not least dragging Ireland into a civil war) by the then Prime Minister, De Valera who adhered to diplomatic protocol despite all advice to the contrary by his colleagues in government. He was a fool and is judged so by most Irish people. He certainly didn't represent any of tens of thousands of Irishmen who fought Hitler not least those who died.
I also notice no one has bother to answer the OP's question. In fact there's no real answer except historical precedent and because it suits them when it comes to medal count. It's been that way for a long time. The Northern Irish have objected to the fact that they are ignored but no one really cares what they say and in any case many Northern Irish choose to compete for the Irish Olympic team. Great Britain is not even a country.
As for Scottish independence when you see some of the attitudes expressed you can see why some want independence. Some English throwbacks (Zack!) can't cope with the idea that countries their ancestors invaded want to run their own affairs. They're still upset about losing the USA. 
The Scots would make a great success of running their own country. In fact certain parts of England would also be better off independent too. Most of the money and power is concentrated around London and the home counties with the north left to scramble over the scraps.
It's also worth reminding certain people that without Scots and Irish soldiers and generals. There would never have been a British empire. For a bit of fun name a really famous 'all English' general?
Erudite response
I am fairly sure that Scotland could do a reasonable job of governing itself, and as you rightly point out, Irish, Scottish, Welsh and Commonwealth troops did, in many cases, allow the British Empire to pursue interests that it would otherwise have not been able to.
An independant Scotland however would need to find itself an armed forces, would need to sort out a benefits system (otherwise Glasgow would starve), the infrastructure issues that are currently plaguing the country would need to be paid for. They would almost certainly wish to be part of Europe so they might want to take some of the responsibility for the £40 million we pay daily for that priviledge.
They would need to set up a health system that could be up and running immediately, fully autonomous of the rest of the UK and fully funded by Scotland. The tax system would need to be overhauled, as would the introduction of something similar to National Insurance to pay for hospitals and recidivist benefit claimants and chavs that are breeding at an exponential rate.
Yes they have the oil industry and a couple of ailing shipyards but I simply do not believe that a country of 5.5 million, coupled with its ageing populous have a chance of succeeding without the support of UK central government.
