You only need to wrap a texture if it stretches across multiple faces at different angles. Yours appears to be on a single flat face, so it only needs scaling…as in the video.
This is exactly how I produced this artwork component. The painting image (not the frame…just the painting) was simply imported as an image, scaled to the required size, then exploded and grouped.
http://formfonts.com/files/1/11744/preraphaelite-paintings-heavy-gilt-frames-all-works-are_FF_Model_ID11744_1_artwork23_thumb.jpg
