If I recall correctly, in the old days Radio Shack sold an Optimus(?) line of amp-speaker systems that were designed in just this way, with the amp compensating for the speakers' weaknesses. The current NAD all-in-one system also has a bass boost tailored, I presume, to the PSB Alpha Minis that it is often marketed with. It's heresy at the high end, of course, but in the low- to mid-fi ranges, it may well be the most logical way to go.
Now that I think about it, if I were a manufacturer, I might be tempted to hide an equalizer inside my powered speakers, to achieve just the effect you're describing. I could get better bass response from smaller speakers, and the audiophiles would never know!
Now that I think about it, if I were a manufacturer, I might be tempted to hide an equalizer inside my powered speakers, to achieve just the effect you're describing. I could get better bass response from smaller speakers, and the audiophiles would never know!