I think that's too cut and dry to reflect my own experiences.
If it's highly damped, and somewhat sat upon sound - then huge damping factors and hundreds of watts will do that....with the appropriate bass cone/speaker combination.
'Tight bass' is how I'd describe that.
My own bass tests - Playing Dub, Reggae, ... or as right now LTJ Bukem, I have full sounding bass, with what (to my ears) is a realistic decay time.
I find that matching the power / signature of the amplifier to the speakers can kill the bass, or make it sound at it's best.
IME, it's about matching the bass cone to the amplifier which suits it best.
For example with a bass cone such as this -
http://www.greatplainsaudio.com/downloads/515_G.pdf
then a high power solid state amplifier wouldn't be something I'd care to hear, it's a woofer that sounds at it's best with lower power amplifaction.
It's not just a power / damping factor issue where ''more is more'' IMO, it's about system matching.