If you're interested, even remotely in form, grammatically sound prose is only the first and most base layer. Proper sentence and good sentence structure do not necessarily follow one another invariably. As in literal art; literary art must move from the real to abstract, the leanest rudiments inevitably compounding into formless substance.
Yes, the sentence is indeed grammatically sound. However, it's abhorrently ugly and massively clunky.
I would rather be unsound and sound good than be typographically feckless and have 'proper' sentiment. Your construction above is a fine example of this.
Read "On Writing Well".
"Oneself often always offers the harshest critique."