The original question, "Did President Wilson help murder Nicholas II?" has brought to mind that Wilson, as an proponent of world democracy and anti-monarchy, phrased his Fourteen Points and all of the additions in a way that let all of the nations of Europe know that American intervention in The Great War was dependent on those same European nations redirecting their governments and reforming them after the war into governments that were more on road to 'the self determination of their citizens" and the abolishment of autocratic rule.
I believe that the Allies would have been afraid to rescue the Imperial Family for fear of alienating Wilson and therefore endangering any help that they would recieve.
Germany, of course, offered asylum, but neither Nicholas nor Alexandra would accept that way out. And the fall of the Kaiser was part of Wilson's reason for being in the war to begin with.
Germany was attacking American ships because she knew that the US was supplying war goods and food supplies to the Allies. Is Germany's attacking of a neutral US any different than the Allies' blockade of Greece because she wanted to stay neutral? (I personally find that one of the most reprehensable Allied abuses during the Great War.)
Any country, allied or not, who owed debt to the US, would also be unable to take in the Imperial Family without fear of retribution in the form of debt recall.
Somehow, Wilson, because he could send in fresh troops and more supplies and more cannon fodder, became a figure to be taken most seriously and his opinions could not be discarded. I don't believe that any country with any tie to the US whether Allied or debtor, could have taken a stand against Wilson and his Fourteen Points after the US entered the war.
Suddenly, the US was a power player in Europe. Whether as a debtor nation or a creditor nation is not the point. The Allies had finally gotten the strength they needed to keep fighting and to win the war. It would have been impolite
to invite the US in to help and then ignore Wilson and his requirements.
There may have been many covert actions begun and many agents sent to Ekaterinburg but nothing was ever done, was it? Why?
I am not saying that Wilson's Fourteen Points single handedly led to the murder of the Imperial Family. I am simply saying that his announcement that the US was only joining the fight to further democracy and the rights of the goverened to have self determination would have given great pause to anyone who remotely thought about rescueing the Imperial Family or even offering sanctuary after a rescue.
Why, then, did Holland allow the Kaiser asylum? Because the Queen did not want to see him murdered the way the Imperial Family had been. Before the murder of the Imperial Family, no one really thought twice about a deposed ruler. No one since Louis the XVI had been so treated. All deposed monarchs had gone quietly into "retirement".
Because of the calculated indifference to the fate of the Tsar caused by either Wilson's Fourteen Points or by George V just trying to keep his own throne, most of Europe gave little thought to what might happen to the Imperial Family at the hands of the Bolsheiviks.
After the murder and the horror of what had been done, not just to Nicholas, but to his entire family, suddenly, even Wilson, canceled a dinner and retired in shock.