The only Chicago teams that were really crazy fast were in 2013 and 2014. The 2010 team could go, but they weren't the fastest team in the world. The 2015 team was a team that actually tried to use their possession game to slow down the pace of games, rather than push it higher, particularly against faster teams like Tampa Bay.
The thing about those teams 2013 and 2014... when people think speed, they tend to think players burning up the ice into the offensive zone on a rush. While the Blackhawks certain did that too, what really set them apart, particularly that dominant 2013 team, was how they used their speed defensively, without the puck. Just constant, unrelenting pressure on the puck carriers. They got into lanes, they closed gaps, they back-checked as fast as they skated up ice, they were happy to outman guys on the boards, cause they knew they could get back into position in time if they didn't come out of the puck battle with the puck, etc. They just never gave any team any time to do much of anything. There were stretches when they were basically forecheck-proof.
That said, I think the 'credit' goes to the 2005 lockout. The McDavid generation, for lack of a better term, are the first group that never had to 'relearn' hockey. Fast, transition, no-obstruction hockey is how they've been playing basically their entire lives. They don't know of anything different. So their skillsets have been developed towards this style of game for longer.