Its quite simple, changing the amount of energy you pump into the box, does not change how lossy the box is.
Think of it like having two slides, a steep one and a shallow one. You can start one kid sliding down the shallow one earlier so that both kids cross at a certain point at the same time, but you can not have them keep pace with each other the whole way down - one has a faster rate of decay.
I won't deny that the situation can be improved
greatly, but it can't be 100% fixed. If it worked as you suggest, then using something like the TacT that can get the frequency response perfectly flat would also give you a 100% perfectly smooth waterfall plot across all bass frequencies, and it doesn't, it just gets a lot closer.
Thats why I suggest using both an EQ and bass traps.. because the EQ can get the waterfall plot to look
pretty smooth and then the bass traps can give a much faster decay rate. If the decay is fast enough I find that the remaining discrepancies are not really noticed.
Please look at the pictures below. The first is an un-EQ'd response of someone's system, the second is after a bit of EQ. Look at the large peak about 70Hz or so in the first, now look in the second. The second had the response pulled down at that point so it was in-line with the rest (some pretty server suck-outs in that room) and then the over-all response boosted to keep the bass level at a reasonable volume.
Notice that where the peak was, there is still a longer decay relative to the other frequencies.
Equally look at around 100Hz. There is a suck-out here. Boost it and the rate of decay is still faster than the other frequencies.
However, look around 40Hz (just before the room is dominated by pressure mode), there is a suck-out. Boost at these frequencies and the decay gets longer too. I think this is because the suck-out was caused by a reflection from the back wall rather than a room mode. The reflection cancels out at that frequency but then you still have some of the sound that went out in different directions that is not cancelled out and the decay of this sound is still seen at a lower level.
Now if the entire decay rate is improved enough using room treatments, then the differences become less obvious to the ear. You get a flat frequency response with a decay rate that is so fast over the entire range that it all just sounds 'fast'.
As a side note, look at the differences in LF spectral decay for different woofers, they are nowhere near that large, which is why I believe the room is more important than the speaker for getting tight, fast bass.
Your posting style reminds me a lot of S&M's.