I think it's usually some pretty useful information as long as you can avoid playing cocky. The data is useful, but people assume bad stats automatically mean their opponent is a bad laner. I have around 60% win rate on Zyra in 160-ish games, but I'm not good at getting kills in lane. On the other hand, I'm crazy good at laning with Teemo but have a really hard time getting caught out after lane is over.
But in general I think it's useful. Especially if you notice that your mid laner ("guys, let me mid I'll carry I promise!") is only silver 2 because of placements, only has 6 ranked games played, and thinks he's a god because he's won 2/3 games on his champ. In cases like that, it's useful to know. I'll make a point of roaming mid to ward for them (because you know they won't), gank a bit, and ping enemy jg anytime they're visible.
It can also be helpful in identifying smurfs. Like when you see a Silver 5 with 50 games, 65% win rate, and a 90% win rate with Poppy after 30 games....you know that's a smurf.