With respect to the topic:
They're definitely a bang for buck 'breakthrough', courtesy of their buy direct from the factory business model.
They're definitely not a technical breakthrough, as others such as Meridian and B&O have been making entire ranges of active speakers for decades before AVI, as has the pro world.
They're definitely very good given that they're active and made from high quality components, and are a proven, if conservative two way in an MDF ported box speaker. Being active, one could expect sonic advantages due the greater control the amplifiers can exert on the drivers, hence improvements in transient response over an equivalent sized passive, or even much more expensive passive speakers.
One could also expect due again active operation that with a signal path that has neglible devices twixt amp and speaker (no passive crossover) that there would be an noticeable increase in resolution over an equivalent passive, or even much more expensive passive speakers.
They're definitely hyped to hell and back as regards 'reputation' - courtesy of the companies viral marketing campaign and attitude - especially negatively expressed toward those who do not swallow the AVI Kool Aid. Whilst very good for the reasons given above, they're most assuredly not the be all and end all of loudspeakers, either in terms of overall design or application, when assessed on objective measureable and technical terms.
IMHO it's this viral marketing, hype, and self agrandisement of the product by the manufacturers, that tries to portray them as the best loudspeaker ever, regardless of price or design, and sadly often with commensurate put downs of other competing brands, that causes most of the friction amongst the HiFi fraternity.
Undoubtedly it also causes many to view AVI products negatively - which is a shame, as they're undoubtedly very good within their price and design constraints.
Just my 2p worth...