Much commentary appears to implicitly assume that the two types in question share similar if not identical reactor and machinery arrangements. That doesn't seem an unreasonable assumption in light of the basic physical features that we can observe and that they have emerged so closely in time to one another, but it is nonetheless an assumption. If we take the sail-less configuration of 09X as an indication that it may embrace a greater level of technological risk than 09V (beyond any potential role differences that may also exist), it's worth considering that this risk tolerance may extend to the reactor or machinery spaces.
Many have identified the combination of X-form tail (with smaller surfaces that protrude less from the centreline) and lack of a traditional sail as minimising drag and suggesting a focus on underwater speed and maneuvering characteristics. The lack of a sail will mitigate snap-roll when maneuvering at high speed, while X-form tail mitigates against the loss of depth control that is the most dangerous consequence of snap-roll. The consequence is that is that a submarine with this configuration can afford to run at greater depth with lesser margin of safety, with implications for maximum speed without cavitation. One characteristic that doesn't neatly cohere with this, however, is the roughly 10:1 L:B ratio (assuming length of 120m and 12m hull diameter) which is significantly longer than is hydrodynamically optimal. The shorter 09V design is superior in this respect. However, there are certainly cases where submarines have accepted a longer-than-optimal hull length specifically to improve performance characteristics: this occurred with the Los Angeles-class submarines, where most of the growth over the preceding Sturgeon-class boats was in length and reflected the requirement to accommodate the larger D1G/S6G reactor and associated machinery as the most expedient, if not the most efficient route to achieving higher speed. Return to preceding paragraph.
TL;DR: Perhaps the greater length of 09X doesn't so much reflect what is forward of the reactor compartment, but what is in or aft of it.