Many athletes use the notion of overreaching followed
by supercompensation to improve performance (i.e. they intentionally push themselves past the point of fatigue in hopes of recovering and bouncing back stronger and faster than before).
Soreness is a good indicator that you caused sufficient muscle «damage» to
induce supercompensation, but it isn't necessary to get results.
When you start eating carbs again, those same mechanisms are still active for a little while, which means increased glycogen loading — or
supercompensation.
The lack of dietary carbs might enhance exercise - induced glycogen depletion, which itself would bias more post-workout calories toward glycogen synthesis /
supercompensation.
You need to time your next workout so it occurs when your body is in a «
supercompensation» phase.