It's not immediately obvious, but this post is actually merely making a (nice) tangential observation/remark rather than attempting to answer the OP's questions, so I've raised a "Not an answer" flag.
It's not immediately obvious, but this post is actually merely a (valid) tangential observation/remark about the OP's wrong suggestion, rather than an attempt to reply to the OP's queries, so I've raised a "Not an answer" flag.