= Helium-3 B phase
{title2=$A_B=\Delta R,\quad R^TR=I,\ \det R=1$}
Take a proper <rotation matrix> $R$ with <real number> entries. Then $\mathbf d_B=\Delta R\widehat{\mathbf k}$ has
$$
|\mathbf d_B|^2=\Delta^2\widehat{\mathbf k}^{\,T}R^TR\widehat{\mathbf k}=\Delta^2.
$$
This odd linear orbital model has an isotropic gap magnitude. Isotropic gap magnitude does not require s-wave pairing: the spin components can rotate together with the orbital direction. Nor does the magnitude fix the relative spin-orbit orientation represented by $R$.
For both displayed models, $\mathbf d\times\mathbf d^*=0$. The triplet gap <matrix> $\widehat\Delta=(\mathbf d\cdot\boldsymbol\sigma)i\sigma_y$, written with <Pauli matrices>, satisfies
$$
\widehat\Delta\widehat\Delta^\dagger
=(\mathbf d\cdot\mathbf d^*)I+i(\mathbf d\times\mathbf d^*)\cdot\boldsymbol\sigma
=|\mathbf d|^2 I.
$$
Thus these models give the same gap magnitude for the two <spin> branches. That last simplification would fail for a general complex triplet vector with a nonzero cross product. The displayed angular curves illustrate these specified matrices; they are not a microscopic derivation of the phase diagram.
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