how much detail is in deep bass a bass horn will let you hear this
In terms of power, the horn design is very efficient but you will lose some details from transients and the same can be said for ported designs or passive radiators that boost LF power through resonance. For low cost and high SPL output design you cannot beat a horn.
A subwoofer loses detail due to massive driver excursion
Large excursions in a sealed box are indeed a problem for low cost drivers (small magnets, long voice coils) with correspondingly low levels of linearity (Xmax). The bass output will quickly compress and harmonic distortion will increase dramatically at higher excursions. (although this design may work very well at low SPL levels, more accurate than a resonant design)