  We study the conjectured "Insensitivity to Chiral Symmetry Breaking" in the
highly excited light baryon spectrum. While the experimental spectrum is being
measured at JLab and CBELSA/TAPS, this insensitivity remains to be computed
theoretically in detail. As the only existing option to have both confinement,
highly excited states and chiral symmetry, we adopt the truncated Coulomb gauge
formulation of QCD, considering a linearly confining Coulomb term. Adopting a
systematic and numerically intensive variational treatment up to 12 harmonic
oscillator shells we are able to access several angular and radial excitations.
We compute both the excited spectra of $I=1/2$ and $I=3/2$ baryons, up to large
spin $J=13/2$, and study in detail the proposed chiral multiplets. While the
static-light and light-light spectra clearly show chiral symmetry restoration
high in the spectrum, the realization of chiral symmetry is more complicated in
the baryon spectrum than earlier expected.
