  We analyze spectroscopic and photometric data to determine the projected
inclinations of stars in 11 open clusters, placing constraints on the spin-axis
distributions of six clusters. We combine these results with four additional
clusters studied by Healy & McCullough (2020) and Healy et al. (2021) to
perform an ensemble analysis of their spins. We find that eight out of ten
constrained clusters (80%) have spin-axis orientations consistent with
isotropy, and we establish a lower limit of four out of ten (40%) isotropic
clusters at 75% confidence, assuming no correlation of spins between clusters.
We also identify two clusters whose spin-axis distributions can be better
described by a model consisting of an aligned fraction of stars combined with
an isotropic distribution. However, the inclination values of these stars may
be influenced by systematic error, and the small number of stars modeled as
aligned in these two clusters precludes the interpretation that their stellar
subsets are physically aligned. Overall, no cluster displays an unambiguous
signature of spin alignment, and 97% of the stars in our sample are consistent
with isotropic orientations in their respective clusters. Our results offer
support for the dominance of turbulence over ordered rotation in clumps and do
not suggest alignment of rotation axes and magnetic fields in protostars.
