Would love to see tournaments involving more countries, but I can see three significant problems with playing games in September:
- players are just coming off their summer break. Asking them to play meaningful hockey right out the gate is likely to produce some pretty sloppy, low quality play and it's just asking for major injuries to occur.
- it's camp/preseason time for the NHL clubs. Missing their key players for stretches when they're trying to get new rosters and tactics to gel seems like something they'd never agree to.
- imagine a situation, which is unlikely but not implausible, where one of the US or Canada is knocked out in the first stage. Suddenly the NHL has a showpiece event in Feb where one of its two major markets is largely disinterested. That would be a disaster.
Maybe what the league could consider is keeping the tournament as a short February thing every 2 or 4 years or whatever, but changing the European teams that are involved. So US and Canada are default entries, but you can switch around the participation of Sweden, Finland, Russia (politics pending), Czechia, Slovakia and so on. Not exactly fair, perhaps, but it at least gives different guys an opportunity, and the likes of Pasta would get to take part a couple of times over the course of a career, which is better than nothing.
Keep the bigger, longer events for the Olympics and World Cups.