  We study the area Siegel-Veech constants of components of strata of abelian
differentials with even or odd spin parity. We prove that these constants may
be computed using either: (I) quasimodular forms, or (II) intersection theory.
These results refine the main theorems of arXiv:1606.04065 and arXiv:1901.01785
which described the area Siegel-Veech constants of the full strata. Along the
proof of (II), we establish a new identity for Siegel-Veech constants of
cylinders.
