Presumably this is the late John Lewis, pianist for many years with the MJQ (Modern Jazz Quartet). I used to like MJQ - about forty years ago or more - when I was starting to appreciate jazz, or what I took for jazz at the time. Lewis & MJQ carved out a niche among cerebral white undergraduates for whom Thelonious Monk was too awkward; Oscar Peterson, too accessible; and Bill Evans, too demanding. MJQ hit just the right note of classical austerity without ever succumbing to the messy passions of jazz in the raw. One could like both Bach and MJQ, and feel effortlessly superior in one's geeky 'knowing-ness'.
Then paths diverged. Some (including myself) would move on to explore 'proper jazz', the authentic music rooted in the Blues, and expressed by (principally black) artists with (one assumed) some political affinity with the origins of the Blues, black oppression, and black cultural celebration. Others however stayed with a hybrid jazz-classical fusion, of the MJQ & John Lewis were the principal exponents (eg. Blues on Bach). But Dave Brubeck dabbled too; and lower down the food chain still, you find Jacques Loussier and his 'jazzified' Bach etc.
As far as I'm aware, MJQ broke up about 1980; and John Lewis settled into a solo career. His 'schtik' remained jazz fusion, producing a collection of pieces based on Bach's Well-Tempered Clavier. I was completely unaware of the material in question, based on 'the Goldies'. In fact I wasn't sure John Lewis was still alive ten years ago. This material looks very 'late career' therefore.
What's it like? I've no idea directly. If you like jazzed-up classical music, I imagine it will be an excellent example of the genre. But frankly, I don't like it. One's tastes and discernment mature over the years. Give me authentic jazz at any time. Give me authentic Bach by the CD-load. But please don't mix the two. And leave the Goldberg Variations alone. This is sublime music, and doesn't need messing with.
As for the chess theme, it smacks of substantial pretentiousness to me. The last thing the Goldies need is added intellectual freight. They cannot be improved upon.