FYI, it is conventional to specify lateral sweeps in terms of degrees, e.g. 15deg, 30deg, 45deg, etc. rather than "10cm left", "20cm left". There are two ways for home hobbyists to measure speaker directivity:
1. Construct a turntable with degree markings. Place your speaker on the turntable and the mic 1m away. Rotate your speaker to the marking and take the sweep.
2. Tape a protractor on top of the speaker. Cut a piece of string to 1m and stick it to the centre of the protractor. Move your mic around the speaker using the piece of string to gauge distance and angle.
Assuming you have taken precautions to keep reflections late and attenuated, both methods will give you the same information. But in practice, the second method changes the pattern of reflections, so the results aren't the same.
Measuring "20cm to the left" at 1m away (blue) gives you an angle of 11.3deg compared to on-axis (red). You can see the curves are almost the same, they only diverge above 13kHz. Measuring at 11.3deg is pretty useless information, if you want to see the directivity you will need these measurements: 15, 30, 45, 60, 90, and 180 (i.e. behind the speaker), in the horizontal plane. Some crazy people check at 5 deg increments and feed all that data into VituixCAD to generate nice looking graphs. You don't need to be that crazy - even a blurry photograph gives you an idea of the general shape. And you only need the general shape. If your driver is mounted asymmetrically in the cabinet, you will need to repeat the measurement to the left and right of the speaker.
I personally wouldn't worry about the directivity of your speaker for the time being. It is a physical design thing, and it's not something you can easily change at this point. Not without constructing a new cabinet or buying new drivers / waveguides / horns anyway. At some time in the future you should check the directivity, but for now your priority should be to get the loudspeaker working.