INSPIRATA’s content library consists of real spaces that were acoustically sampled by measurement. Does this mean INSPIRATA is a convolution reverb? Or is it an algorithmic reverb?
Inside INSPIRATA is an algorithm that is inherently time-variant, just like what you would experience in a real hall with an audience and musicians, where everything is moving a little bit, including the air. When you are in such space you would identify the hall from its sound, but it will still sound slightly different every time. This is a very different concept from convolution which guarantees you the same mathematical output every time.
On the other hand, the time variance is small enough to make sure you get the same quality of reverb constantly. Algorithmic reverbs, however, often use some kind of feedback, which is conceptually alien to how sound propagates and reflects in reality. The algorithm in INSPIRATA works in a feed-forward way, and takes elements that might vaguely resemble convolution, but still essentially different. The concept it implements is more like revolutionary than 'convolutionary', no pun intended.
So INSPIRATA is neither a convolution reverb, nor an algorithmic reverb, but takes portions of these methods to define a new algorithmic concept that is one step closer to the physical reality with many of reality’s imperfections considered and included. But we still call it a convolution reverb to keep things simple.