I am not sure I quite understand the concept of; "...high volume...not very loud..." . Doesn't hihg volume mean loud?
I took it to mean high volume control setting giving lower volume.
I could see phase being a problem in a single cabinet but from what I know about it, the volume would always be less than expected and would change with frequency i.e no bass but acceptable mids and highs. If you had two cabinets, unless the cones and VC's were in the same plane, they would not be in phase anyhow. Possible at the lower frequencies to hear the effect...but any mis-alignment would effect the sound especially if the cabinets are right next to each other, in effect making one large cabinet. That's why so many companies make such a big deal about "Time-Aligned" speakers. Yes, it makes a difference, but how much?
Any two sound sources producing the same signal are going to have phase cancellation and reinforcement "waves". Same cabinet or not.
It is more noticeable in a single cabinet because of the distance of the speakers. With two cabinets, the closer together they are, the greater the loss of bass and volume that comes with out of phase signals. Separate them and the effect becomes less noticeable.
Exactly what frequencies get canceled or reinforced depends on the distance between the sources, and the wavelength of the tone being produced. I can't remember the exact figure, but the speed of sound in air is roughly 1000 feet per second. If you take that and divide by the frequency, you'll get the wavelength.
So for a 100hz wave, the wavelength is 10 feet. To minimize cancellation effects due to being out of phase, the speakers have to be at least 10 feet apart.
Time alignment is sort of the same animal, but different. Time alignment doesn't deal with phase directly - it attempts to insure that the different frequency components of a sound, when broken up, arrive at the same place at the same time.
This "break up" of a sound occurs when multiple speakers are used to reproduce different frequency ranges - such as a woofer and tweeter arrangement. If the sound of the fundamental frequencies from the woofer don't arrive at the same place as the higher harmonics (or vice versa) - the sound becomes "smeared" and is no longer representative of the original sound.
Obviously this is more important in hi-fi than musical instruments.
I agree with Ed, more likely wired for 16 ohms...or even possibly...a defective speaker right out of the box. Just because something is new today....don't mean it ain't broke.
In any case, always worth the 9 volt check, easy and nothing to lose.
That would explain a loss of volume with the concert alone.