Magnetic fields induced by non-radial compressible flows (vr≡ 0, ∇·v≢ 0) in spherical conductors are shown to decay, or at least be incapable of indefinite amplification. The results herein supplement previously established antidynamo results for purely toroidal flows (vr≡ ∇·v≡ 0), with the allowance of compressibility necessitating new proofs with different senses of field decay. The poloidal field variabler·Bdecays in a global sense with an undetermined decay rate. A pointwise bound is established that limits the ultimate strength of the toroidal field scalar T, and shows that if the poloidal field is negligible and the conductivity uniform then the toroidal field decays to zero at no slower than the poloidal free-decay rate π2.