The battle at the edge of the atmosphere did not affect the situation on the ground.
The Seven Deadly Sins are the Emperor's direct Schutzstaffel, acting solely on the Emperor's direct authorization, needing no report to the regional tactical calculation network, nor do they accept jurisdiction and command from anyone other than the Emperor. The movements and battle progress of Sloth's group were unknown to the "Legion" and Mach.
Thanks to complete information isolation, the front line did not waver in the slightest. Otherwise, although the "Legion" might not react, any hesitation from Mach, who has considerable command authority, would inevitably have a negative impact on the battlefield.
Of course, the regional tactical calculation network controls the dominant power in combat. Even if Mach is unable to perform his duties normally, the network would immediately reclaim authority and make adjustments based on the front-line situation.
