No, I most certainly would not say that. Jake E. Lee was being paid to play the existing songs in Ozzy's catalogue and to write and record new ones. While he was a capable enough player who could handle the existing material, he wasn't even remotely in Randy's league when it came to songwriting. There are a few good tracks on the two albums Jake E. Lee made with Ozzy. In particular "Bark at the Moon", "Waiting for Darkness" and "Never", but there's a lot of rubbish on those records as well. Each and every track on both "Blizzard of Ozz" and "Diary of a Madman" is terrific. Jake E. Lee didn't "capture" any of Randy's style. He was paid to play Randy's songs and to write new ones. As a professional musician, he was able to learn the songs Randy had written and to play them well, but he didn't hold a candle to Randy in terms of songwriting. Few tracks from the Jake E. Lee era became live staples (other than "Bark at the Moon" and "Shot in the Dark" - which was actually written by Phil Soussan), and there's a reason for that. Most of "Bark at the Moon" and "The Ultimate Sin" is filler. Jake E. Lee was a great player, and he wrote a few decent songs. But the wide majority of the songs he recorded with Ozzy were awful.