Design counts.
I'm not talking about cabinet design by itself. I'm talking about alternatives in design between front and down firing subs. A "light" front firing sub without any stable feet is most certainly going to increase resonance at lower levels. A "heavy" done firing sub may still do the same, but at a much lower frequency and without as much resonance. So, definitely, design counts! I think we're basically agreeing, but I'm not talking about the cabinet in terms of dimensions or the interior part of it where the driver fires from. I'm talking about the design as was specified as being either a) front firing, or b) down firing. It also applies to subs that use spiked-feet as opposed to not using them. All I'm saying is that it is hard to deduce what is needed when we're not sure what parameters we're working with here. Are we putting a sub on a wood floor? cement? tile? carpet? Are there closed walls? Are there windows? All of these things can certainly contribute to the decision of which works best. To make a global overarching statement that one type of subwoofer is better than another (i.e. down-firing vs. front-firing) just isn't wise. Aside from the subjectivity of what people consider "better", there are just personal preferences for how people like to hear sound.
The goal in any of these discussions is to sort through the information and make a good determination. In this case, we can't say get a down-firing or front-firing sub because we lack the proper parameters, never mind the personal preferences of the person asking. So, the best we can do, is give them information to consider when making the decision based on personal experience and education.
In this case, there are definitely differences in the physics associated with the movement and vibration of the sub when it fires to the front or to the floor. One has to be aware of this. There are also different requirements in terms of placement, mounting, etc. I'm not saying that one should design a cabinet that decrease resonance. I'm saying that there are elements to a sub's design that, when considering your set of parameters to work with (the demographics of the room, personal preferences, etc.), are applicable for making the proper choice.