I mean negatively or positively. I have seen lots of people do that. And I saw on one place that it's just that they want to look rebely or something like that. But, I asked this from a music teacher and though she doesn't know about guitars very well, she said that the tone might get colored somehow. I also think it might as the wood, bridge, frets also affect the guitar's final tone. Any thoughts?
No difference. The strings vibrate from where they're fretted, or the nut when open, to the saddles on the bridge. If they had a centimetre or a metre hanging off - no difference, apart from getting in the way, or vibrating against something else causing annoyance.
You could probably make precise scientific measurements and find a tiny effect - maybe positive, maybe negative. But practically, no.
In the same way as 'oxygen-free copper' may be measured as slightly superior for audio cables. VERY slightly.