The neighbourhood where we live has Sweden's most active speed skating club in it, which means that pretty much every kid start taking their skating lessons at age 5 or 6. An interesting side effct of this is that our local kids tend to dominate the local hockey scene for ages 10-15....
So much so that the boys team was invited to some kids' tournament a couple of years ago where they faced development teams from Moscow and Toronto...
Problem is that we only have an outdoor skating rink and no real adult team, so as they grow older they switch to other teams. The local club, HSK, is mainly active in speed skating and soccer, but also has hockey for kids.
Anyway, kind of reinforces what others have said, skating is fundamental to success in hockey.
As for figure skating, I don't know, but back in the day when I followed Björklöven during their glory days, they had a smallish D-man, Torbjörn Andersson, who must have dabbled in it... He'd go full speed in one direction, then make a 360 degree turn on a split second and go full speed the exact opposite direction. Made quite a few opponents look really foolish when they slammed into the boards and the supposed victim was long gone. Never seen any other hockey player turn as instantly as he did, and I'm pretty sure there must have been some figure skating lessons involved.
Back then all players had a day job, and he was a career instructor(?) at my school. I remember being fascinated by the awkward shape of his nose, which was bending in so many directions it was just weird. He must have broken it a zillion times and never have it set properly, so it zigzagged from left to right and in profile looked a bit like a moguls slope...
http://www.eliteprospects.com/player.php?player=3259Anyway, it's often good to let the kids try a number of sports early on to develop their allround fitness and let them see what fits them best, and what they enjoy doing.
Björn Borg was a very promising hockey player, made the U16 national team, before he decided to focus on tennis, and we have had several players in Sweden that were considered elite in both hockey and soccer in their age group before choosing which path to pursue. Typically you focus more on strength in hockey and endurance in soccer, whereas technicality is a feature in both, and combining the two sports is often not a bad idea, as it will give you a combination of everything and thus make you better at both.