The impact of changes in the front panel would be easier to estimate if the dome was aligned with the panel but here it is placed quite deep in the horn. As I understand it, the idea here is to widen the dispersion of the tweeter by narrowing the enclosure near the tweeter. Since the dome is placed deep in the horn, the effect may be weaker than expected. Secondly, the idea of widening the dispersion raises some doubts. Wide dispersion means low directivity, and here the tweeter with the horn was intentionally selected to increase the directivity and match it to the directivity of the much larger (and therefore more directional) midwoofer. Directivity control is the key to smooth PIR and PR characteristics with constant on-axis response.
But there is no doubt that the enclosure with such a front panel would look far more attractive than a simple box like in the original.