Actually, any speaker engineer will tell you that the thermal rating of the voice coil does affect driver performance. Why else would speaker manufacturers have spent so much time over the years trying to improve the power handling of the voice coil? Think kapton voice coils, high temperature glues, high temperature wire coatings, sophisticated cooling mechanisms, etc.
Kevin, I'd guess that the 15" ceramic driver in your RM cab is underdamped, i.e. a bit loose and boomy, while the more expensive neo version is exerting more control over the bottom end. More bass doesn't necessarily mean better bass. Without measurements or proper data, however, nobody can tell you for sure what's happening.