i'm so sorry everyone, i understand the whole dead horse thing, but it's been several hours since i read this thread and i can't stand it.
hemoglobin has nothing whatever to do with blood pressure. nothing. it carries oxygen around, like santa or the easter bunny, distributing to all the good cells. contributing factors to blood pressure are many and varied, including baroreceptors (the reason you don't rub both carotids at the same time), and chemoreceptors which are part of the endocrine system feedbacks, both of which are tied in to things like cardiac output and the circular struggles of balancing preload and afterload. if the system doesn't have oxygen, it won't work, but only because the organism would be dead. except for that little glitch, the system doesn't care if it's circulating blood with plenty of hemoglobin, plasma, or pepsi.
i can't make any contributions to the gas law discussion, but this bit has bothered me and nobody challenged it at the time, so... but i apologize again for stirring the settled pot.