Depends on the horn speaker!
Horns are designed to work over a fairly narrow frequency band. If the wavelength is too long to fit the horn, the horn won't effectively couple the motion of the cone to air. End result is - sound is attenuated at that freq. and below. The same situation happens with high frequencies - short wavelengths bounce around chaotically in the horn - again it fails to couple cone motion to air - and again you get rolloff.
Some horns are designed for high frequency extension, but most horns I have heard do not do very well above 10-15kHz. If this is the case - supertweeters, or even normal tweeters with a HP filter, will work quite well.
Horns are designed to work over a fairly narrow frequency band. If the wavelength is too long to fit the horn, the horn won't effectively couple the motion of the cone to air. End result is - sound is attenuated at that freq. and below. The same situation happens with high frequencies - short wavelengths bounce around chaotically in the horn - again it fails to couple cone motion to air - and again you get rolloff.
Some horns are designed for high frequency extension, but most horns I have heard do not do very well above 10-15kHz. If this is the case - supertweeters, or even normal tweeters with a HP filter, will work quite well.

