Do the best Swedish Nhl players traditionally have good TV pucken numbers?
Good, but not necessarily great. Players who develope early will obviously have good numbers whilst other take longer - perhaps a growth spurt in the late teens etc.
Looking through the all-time stats on EP you have NHLers mixed with Swedish Div.2 (4th tier) players. To me future NHLers usually stand out with a more mature game compared to thier peers due to a higher "hockey IQ", but it's not always that shows up on the score sheet.
Are there any players that "arrived" during this tourney?
Mats Sundin, Peter Forsberg and Markus Näslund are some who first became widely known though this tournament.
Who is the best ever to compete in it?
That depends on who you consider to be the best. Almost all big names have played in the tournament.
I'd say it indicates NHL potential to be good in it, but that all the hard work begins after the tournament. Most NHLers are probably top20 in their district at that age. There are exceptions that I don't remember off the top of my head right now.
Salming, Loob, Lidstrom, Forsberg, Sundin, Sedin etc. all played in TV-pucken.
Generally it feels like forwards stand out more than defensemen if you're looking for NHL stars down the line. If you look at the 'best forward' award you'll find H.Sedin, Naslund x2, Gradin, Steen, Berglund as winners to name a few. But there are exceptions like OEL and Adam Larsson winning best defenseman.