a smoothing of peaks and valleys from 2k to 5kHz can be seen from 1 to 3db resulting in a much flatter response curve.
That would be expected.
linkwitz lab diffraction measurements show that anything that reduces edge diffraction (smaller baffle, square instead of circular shape, and an off-center tweeter mount) will result in a flatter response.
It is not clear if these slight frequency variations are actually audible. It seems accepted, however, that it somehow confuses the ear/brain as to the precise direction for the source of the sound and hence the "imaging" accuracy. In essence, a point source will image very well but anything reflected within 5 to 10 msec can be detrimental. (Our brain does a careful analysis of the difference in high frequencies arriving in each ear, which is how we are able to tell direction of a sound.)
The science suggests there are three options for great imaging.
1) Tweeter mounted with almost no baffle and away from any possible sharp edges. B&W tweeter on top designs achieve this 2/3 of the way round the tweeter - but undoubtedly will suffer from diffraction off the baffle box below the tweeter but this is very close to the tweeter and may not affect imaging much. Other designs with a small triangular baffle also try to keep the diffractions close to the tweeter. This means that the diffraction signals detected by our ears are very close to the point source of the tweeter and therefore one can still locate the origin of the source fairly precisely.
2) Tweeter mounted in an infinite baffle such as mounting the speaker flush in a wall. In this case, with a smooth transition from the speaker baffle edge to the smooth wall, there is no diffraction at all, PERIOD. Imaging will be as absolutely precise as the recording will allow.
3) Felt or absorptive foam surround around the tweeter. If you can reduce the strength of the diffraction by 10 db then it may become so small that the ear/brain will not detect it from the primary signal and therefore it will no longer confuse the brain as to the precise source of the sound.
In practice either 1 alone or a combination of 1 and 3 will work best. As a rule of thumb, anything that reflects the primary signal with about 7 msec can affect the image (so keeping speakers well away from sharp objects or walls is a good thing id you want a precise image). The brain ignores later arrivals in its quest to assign a location to the source of the sound. In practice there is a big improvement by placing the speakers 3 feet or more away from a wall or an object - after this you still get improvements up to 5 feet away, however, it is diminishing returns after about 3 feet. Speakers that are in a cluttered position and next to sharp corners of furniture or close to a wall will never image properly.