So you would hypothesize that, goaltending aside, one would have roughly the same chances of getting a successful (measured by games played) player from the first round, irrespective of position?
I know some advanced stat gurus have done this, but I've no idea where to find it. What terms would one even use?
Definitely. The probability of drafting a decent quality player increases the higher the draft pick is. You have your anomalies here and there, but those are very rare. That's why certain clubs stand out when they hit that home run outside of the first round.
I've seen the percentages of how successful players will be based on draft position and they tend to be heavily skewed towards picks in the top two rounds, but of course that doesn't necessarily mean much. Look at how many first round picks the Kings let go to waste under Dave Taylor's era.
Taylor made the following first round selections when he took over as GM in 1997:
Olli Jokinen, Matt Zultek, Mathieu Biron, Alex Frolov, Jens Karlsson, Dave Steckel, Denis Grebeshkov, Dustin Brown, Brian Boyle, Jeff Tambellini, Lauri Tukonen, Anze Kopitar
Of that group of 12 first round selections, how many would you say developed into top line material? Jokinen, Brown, Frolov, and Kopitar. So 33% of Taylor's 1st round selections amounted into something while only two others (Steckel and Boyle) found roles as bottom six players, and the others fizzled out of the NHL or never made it.
That's not a very good rate of success when drafting in the first round.