Group volume alignment techniques don't work well
enough to faithfully represent detailed functional parcellations of human cortex as a volume file, because the folding patterns have too much subject-specific variability in
most of the brain, and volume alignments are often based only on the
shape of the brain, while functional areas can vary in position even
with respect to some of the more stable folds. Please see our paper
https://www.pnas.org/doi/10.1073/pnas.1801582115 .
It is possible to make a subject-specific volumetric version of a parcellation by using the subject's own surface files, but it will be noticeably different for each subject, due to following the subject's cortical ribbon. However, we instead do cortical connectivity analysis on the surface, where the cross-subject correspondence is much better. If the CONN toobox can't do group analysis using surface-based data, then we'd recommend looking for another way to do your analysis.
Tim