The seven broken twisted supercharges are conjugates of the exact scalar supercharge by discrete automorphisms, so restoring the automorphism structure should restore full N=4 supersymmetry automatically.
Homology Theory of Lattice Fermion Doubling
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From One to Eight: Supersymmetry Restoration in Lattice 3D ${\cal N} = 4$ Super Yang--Mills
The seven broken twisted supercharges are conjugates of the exact scalar supercharge by discrete automorphisms, so restoring the automorphism structure should restore full N=4 supersymmetry automatically.