Yeah but there are plenty of other ice badge names available, it isn't like they were running out of ideas. How about Snowflake badge to go with the new snowflake pokemon, Avalanche badge, Snowcone Badge, Ice Shard Badge,Hail Badge, Ice Badge, chill badge or Frost Badge which sounds the coolest.
It is just quite odd for a repeat of a badge, I dont know why they made that decision. For a pokemon perfectionist like me who gets bothered by every mistake, it really annoys me and I will be dying to know why the repeated the name of the most recent generation badge. Candace will be so pissed I must say DX
As for the skinny badges.... I dont really like it. The badges them selves are attractive but I would prefer them fatter than they are.