If a particular assessment doesn't cover some impact (aspect, dimension), it should still mention this explicitly. Omitting an impact category may lead readers to believe it is not important.
On the other hand, comprehensiveness comes at a cost. Selecting life-cycle inventory, midpoint, and/or endpoint metrics that are likely to yield the greatest insights (and have sufficiently high-quality data to support those conclusions) will make LCAs more interpretable and impactful.
Related:
Life-Cycle Assessment Considerations for Batteries and Battery Materials