  In this paper we show how response function corrections to shear measurements
(e.g. as required by Metacalibration) propagate into cosmic shear power
spectra. We investigate a 2-sphere pixel (also known as HEALpixel') correction
and a forward-modelling approach using simple Gaussian simulations. In the
2-sphere pixel-correction approach we find a free parameter that is the
tolerated condition number of the local response matrices: if this is too large
then this can cause an amplification of the shot noise power spectrum, if too
small it can lead to a loss of area (and a possible selection bias). In
contrast by forward-modelling the power spectrum this choice can be avoided.
This also applies to map-based inference methods using shear-response
calibrated maps.
