You can get equal power handling from 15" Cabs. Take the Eminence Kilomax for example, a standard 15" Driver with 1000W Continuous RMS Power Handling and large Kapton voice Coil
The main problem with high power handling is the crossover / horn combination. Most high frequency horns are rated at around 80W - 120W RMS without a X-over (when used actively). X-overs tend to max out at around 600W RMS Power handling due to the heat losses required with the HF Power when reducing it to a safe level. For instance my Ohm RW series has 50W Power resistors strapped on to the crossover - and they get pretty hot at 350W - imagine the resistor size and heat produced from a speaker being fed with 1000W??.
Decent, Quality 18" speakers tend only to be found in ratings between 500 - 1000W RMS - whereas 15" ones are available in anything from 200W - 1000W ratings. In other words since 18" drivers start at 500W they are more commonly used in sub bass applications - purely because they don't want the problem of finiding a suitable horn / x-over combination to work at such a high power level.
Besides, don't believe the hype - an extra 3" is nothing

. You can get just the same level of audio from a good quality pair of 15" speakers when amplified correctly, housed in decent quality cabs and EQ'ed properly. A good speaker is about its design parameters, cabinet design and size, and the equipment driving it - rather than solely the size of the driver.