Yeah, but that would mean the 095 wouldn't be able to keep up with a CBG unless it is willing to risk being tracked. China is building SSNs to complement carriers rather than to have them act as "lone wolfs" I think.
It can keep us, just not quietly. Furthermore the cCBG won't be running at maximum speed most of the time. Most of the time the screening submarine with insufficient silent speed to keep up quietly can adopt the sprint and lurk approach where it overtakes the CBG By running at 30+ knots, slow to silent speed, lurk, listen for threats, then sprint again. Keep in mind Submarines only has to be really quiet if they try to get somewhere undetected.
Submarines screening a CBG are not trying to sneak somewhere undetected. The CBG advertises its presence with sound of surface ships no air operation. The enemy already knows there can be enemy submarines near by when they hear a CBG coming. Yes, the noise perhaps allows the enemy sub to better pin point the precise location of the screening sub. But the screening sub is likely operating with aerial ASW support from the carrier. It's not like the enemy can freely use information from the screening sub's noise to attack the screening submarine as if it were alone. Any effort to kill the screening sub likely betray the attacking sub to other components of the carrier's ASW screen, and expose it to a combined arms counterattack and potentially makes it impossible for the attacking sub to fulfill its primary mission.
In addition, even the fact that the silent enemy submarine has a more precise fix on a sprinting and lurking screening sub is not an insurmountable advantage for the screening sub. The screening sub knows the enemy already knows where it is. It can freely use active sonar to pin down the more silent enemy sub.