I'm loading a WMS layer which comes in WGS84 into Google Maps. From what I've read so far, I should reproject this layer to Google Pseudo Mercator (either 3857/900913). However, when I save the layer in either one of those two projections, it is not displayed in Google Maps, but I can view it in Data Preview of Geoserver. Others with WGS84 are displayed correctly but with a position shift.
Do I really need to reproject the layer? I'm not sure whether it is not just a matter of some inaccuracy.