That's right. The Vickers terminology was "Class K" (they called all of their guns of that period "Class x") but it was more generally known as the VGO (or just GO) for Vickers Gas Operated, because all of the other service Vickers MGs were recoil-operated.
Incidentally, the VGO was developed from the Vickers-Berthier, an LMG closely comparable with the Bren (which it almost beat in the British Army trials - it was used by the Indian Army). Berthier was a Frenchman who designed the first version of his gun before WW1, but Vickers bought the rights after the war because they wanted to get in on the LMG market.