Different cables might help a little, but they’re generally more of a fine tuning.
Ever considered adding felt to the front baffle to reduce reflection and diffractions? Spica, Vandersteen, and others have done similar. 1/2" wool ironing or crafting felt is pretty cheap and effective. I cut it into small triangles and made a starburst pattern around the tweeter, but you can arrange it however you want until it suits you. Easy to adjust and undo too.
Felt