There are tonal profiles across all diameters of speakers. Deep 10s, bright 10s, deep 15s, bright 15s, ultra-subby 12s, brittle and cheap sounding 18s. For recording I prefer a cabinet that has as few drivers as possible in it to help keep any potential phase issues in check. Said cabinet should also be free from rattling sounds that will get picked up by the microphone(s). Beyond that, as long as it's delivering the right vibe for the session the driver size makes zero difference. All the driver's diameter will tell you on its own is the dispersion characteristics, which mean next to nothing in most recording situations since you can place the mic accordingly.