Actually, that video kind of contradicts your claim. The blood did not begin spurting out until the victim fell and his head (where the wound was) descended to, or below, the level of his heart. It seems unlikely for blood to spurt out for wounds that are significantly above the heart.
Actually, we can try to do some math. Normal systolic pressure is 120 mm Hg, and Hg (i.e. mercury) is about 13 times the density of blood. Therefore, normal systolic pressure in terms of the vertical rise in blood would be 13 x 120 mm = 1.5 meters. So, in theory, a column of blood could only rise 1.5 meters above the heart (putting aside capillary action, which is not relevant here). Of course, blood pressure will drop dramatically, at least locally, with a hole through which blood is spurting which is comparable in diameter to the largest artery in the body (the aorta, which is about 2.5 cm in diameter). How fast does pressure drop? Too many assumptions are required to get a bead on it, but the video of the executed Vietnamese guy shows that blood could spurt about a foot higher than the heart. That would indicate a blood pressure drop by about a factor of four locally, which strikes me as reasonable. So what you're seeing with the Vietnamese guy is probably about what you would expect. If Crutcher had serious hypertension (and the Vietnamese guy did not), he might have cleared more than a foot above his heart.