There is a temptation to use just the word pair counts, skipping SVD, but it won't yield in the best results. Creating vectors not only compresses data, but also finds general patterns. This compression is super important for less frequent words (otherwise we get a lot of overfitting). See "Why do low dimensional embeddings work better than high-dimensional ones?" from http://www.offconvex.org/2016/02/14/word-embeddings-2/.