Well then, since we are designing the product specifically as a bass amp (not a keyboard amp, not a sine wave reproducer, not a vibration table driver), the most applicable approach is to consider the type of signal consistent with its intended application. Along with this, if you are going to reproduce sine waves with your speakers, you might need to consider derating many of the speakers on the market that otherwise make outstanding bass guitar speakers, because they are designed with a different and clearly marketed application in mind.
I am going to assume that a bass amp is going to be used with a bass. If it isn't going to be used for bass, it's up to the potential user to determine how suitable it is for their particular application. This doesn't just apply to duty cycle, but to input impedance, input sensitivity, high pass filtering, etc.
If I'm driving a midi synth with a bass guitar - I'm using it with a bass.
For bass guitar, continuous power isn't going to give you any additional information specific to the application.
This thread paraphrased -
"What do you want to eat?"
"I'd like a steak"
"No you wouldn't"