Yes, it's drawn thread work, or drawn thread embroidery, because you withdraw threads in one direction before embroidering over them.
A couple of the images in the link you posted are based on 15th/16th century reticella lace where threads in both directions are cut away and then a grid of threads added to the space and embroidered over.
A Victorian revival of the techniques, promoted by the art critic John Ruskin, is sometimes known as Ruskin lace.