I've measured these on-axis (between mid en high driver, aimed with my laser to be shure the mic was on the correct hight!). Measured at 1m, 2m and 5m distance (the REW screenshots are from the 1 meter measurement). I've used my calibrated Isemcon on REW on my MacBook, nothing in between. The curve didn't flatten out while going from 1 tot 5 meters, the accuracy of the measurement did however... Compression / limiting of the DSP was off while measuring, and when pushed towards 90% level only the distortion level in low mid en mid went sky-high..... the frequency curve did not change. Off course I realize that P/A speakers don't measure ruler flat like Hi-Fi or studio monitors. but most of my other P/A speakers measure within reasonable margin " flattish"... my point is that there is a factory preset on these Speakers (called Linear 5!!!) that's named "flat" and it's not! the discussion of how a P/A speakers should measure for a good reference is very interesting! IMHO, a P/A speaker should measure "flat" from 1 to 5m on axis out of the box (near/midfield) so it's predictable and reliable and easy to setup. Maybe not important, but when mixing a band (random band on a random stage) you LPF/HPF, EQ, gate, compress, limit, FX etc... each channel individually; there you make the mix. Setting up the system, before the soundchecks, starts with Arta / pink noise en some sweeps for time delay/phase... also you want to disable the feedback: if a speaker has it;s own Curve / boosted highs and mids, then Feedback suppression is a big pain in the ass! if you mixing several bands in one night on the same stage, and someone brings on their own soundguy and plug-in the Yamaha DM7 or DiGiCo mixer, the whole preset is instant unusable due to the curved FR!
The only info that's missing now is basic measurement setup, meaning GPM, 4pi (on stand), etc. It's often possible to discern this from the curves themselves, but here I'm at a loss - the measurement contains too many ripples where they shouldn't be for a GPM, and too much low frequency information / resolution for a gated 4pi.
If it's 4pi, please name the measurement height and gate length. Also describe the setup in detail, meaning what kind of stand / tripod you were using, etc. Also, and this would go for a GPM also, how far the nearest reflective object (wall, car, ...) was from the measurement setup.
You've gotten some lackluster advice from users obviously lacking knowledge and/or experience regarding near field vs. far field. Speakers this size are already essentially in the far field at 1m distance, and even below. Frequency response indeed won't change much from 1 to 5 meters. The only factors really able to cause a difference are smaller angles of the individual drivers to the mic at larger distances (but that's negligible in that case), and air dampening at high frequencies (also still negligible at 5 meters).
Some active PA speakers have (documented & switchable, like for example Yamaha D-Contour, or entirely undocumented and out of user control) adaptive EQ, meaning EQ depending on level / volume - but since you already measured at various levels and discovered that the response didn't change, that can obviously be ruled out as the cause of the uneven frequency response.