  The pseudoscalar correlator is an ideal lattice probe for thermal
modifications to quarkonium spectra, given that it is not compromised by a
contribution from a large transport peak. We construct a perturbative spectral
function incorporating resummed thermal effects around the threshold and vacuum
asymptotics above the threshold, and compare the corresponding imaginary-time
correlators with continuum-extrapolated lattice data for quenched SU(3) at
several temperatures. Modest differences are observed, which may originate from
non-perturbative mass shifts or renormalization factors, however no resonance
peaks are needed for describing the quenched lattice data for charmonium at and
above T ~ 1.1Tc ~ 350 MeV. For comparison, in the bottomonium case a good
description of the lattice data is obtained with a spectral function containing
a single thermally broadened resonance peak.
