I was looking at my LGK's last night, and thinking about trying this.
I see two possible ways this could improve things. Brass in non magnetic, which could help since the screws are close to the large magnets in the speaker. I normally use brass hardware in my projects because of their non magnetic properties.
Other reason is for dispersion. My current screws are pan head, replacing with flat head screws should put the screw heads closer to the speaker, so they will cause less dispersion interference. I would hope this would help imaging. As an aside, the LGKs already have great imaging, but there is always room for improvement.
Randy