Also, I recommend trying three different measurements at each angle, and compare the averages of each set. For each set, first measure in the primary spot, then about a foot to the left, and a foot to the right for the third. There could actually be room response variations like you graphed within a few inches span. How wide is your head? Also, make sure you turn off your hvac and reduce the noise floor as much as possible as you measure.
Seems like I read somewhere that 90° is most appropriate for measuring bass response, and 0° for full range. Seems also that I saw graphs comparing the two, and the graphs were pretty much identical below 1kKz. I'm pretty sure the difference you see is more likely explained by room response variations than with measurement angle. Also, I think many dips and peaks that look drastic on a graph are largely inaudible.