I think this speaks to a general principle I'm interested in, that by analogy is similar to the difference between walking and running, that while sharing some mechanical similarities (hip, knee, and ankle flexion, movement of arms), there are also major differences. I'm not sure that going full tilt is the primary way to get up to tempo on difficult work on the piano, as Seeker mentioned there being inefficiencies and inaccuracies that can become embedded in one's technique. But I do believe that it can act as a functionally effective diagnostic of your technique with regards to specific mechanical techniques at question, be they passagework, octaves, chords, leaps, etc. I have a tendency (character flaw) to play things quicker than commonly played, so this should be taken with a grain of salt, but one of the things I do in practice is play things at a decidedly quicker tempo than indicated, to push my technique to its furthest bounds with the. passage in question. Unevenness or tension palpable in the hand can make themselves known when doing this, and working to rectify this (e.g., I'm over-rotating for finger 2 when changing hand positions, I'm playing too deep into the keys, there's unnecessarily much legato for the stream of notes, finger 4 is playing more loudly in leggiero work, etc.) can be beneficial, the upshot being that when I return to tempo, I've uncovered things that I didn't fully realize were problematic, solving them at a higher level of exertion, making them easier to perform at proper tempo, the thought goes. So I'll play faster, test it out at tempo. But what I also do is slow it down much more after that to rehearse the motions, with my "findings" in mind, for maximum relaxation and simplification bearing in mind the problems that I've identified. Perhaps this can be of help, to not fix the 'bad things' inherent in exerting oneself past the previous bounds of one's techniques.
I read a book written by a student of Michelangeli's, and one of the pieces of advice that Michelangeli gave him, was to play with the hands (or, writ large, the entire playing mechanism), as the ears can be deceiving. And then, later on, not just the hands, but their relationship to the keys and the mechanism to the keys. The identical sound can be produced a lot of ways, but being aware of what you're physically doing and the physical state of your hands (and mechanism) allows for efficient reproduction of the desired sound. So while you hear an Argerich zip through an incredible amount of octaves in a short time, the sound (the tempo, the dynamics) is one aspect, but the mechanism is another. I'm mostly self taught, but it was this principle that allowed me to radically reduce my tension, and it allows me to troubleshoot what is going on at tempo in difficult works, like finding relaxation in octaves to help with both speed and control. I think it's this kind of hand-consciousness that fast practice targets. The goal being what Busoni late in life said, that only then was he able to play "without my hands," the awareness and lessons having all been transcended. It should be coupled with musical and expressive aims, but I at least find it a useful consideration when practicing and learning technique.