Thank you, it looks like the article came from a PhD thesis which is freely available at the following link.
openrepository.aut.ac.nz/bitstream/handle/10292/12094/SandfordG2.pdf?sequence=5&isAllowed=y
Interesting stuff. So far I've not looked at it deeply enough to take more away from it than that it argues that maximal sprint speed is definitely a significant factor for 800m and 1500m, and indeed argues, if I am reading it correctly, that it is more of a factor than vVO2Max (velocity at VO2Max), and more relevant for 800m than 1500m (this last point is not really surprising I think). Though the study is I think for elite athletes, who will already have a very high vVO2Max; there might or might not be a different picture for non-elites.
To me, just thinking about it in a simple way, it is logical that sprint speed is going to be a major limiting factor. If one's max speed is X, then no matter how good one's endurance is, one is not going to be able to run for Y distance at more than some percentage of X speed, where Y is one of the ingredients in determining that percentage. But the larger Y is, the more relevant endurance will be, because there is much more room to improve the speed one can hold relative to one's max speed, and just small improvements will be multiplied to a greater extent.
As I say, this is just simple reasoning, not based on any deep analysis, but it seems to me to be pretty incontrovertible. What is more difficult is to put precise numbers on it: if one's max speed is X, then what can one hope to run in the 5km, etc. But I really think that this question is highly relevant for distance runners, slow twitch ones at least; there's no point flogging oneself to death with endurance training if one's speed is going to put a lower limit on what one can achieve; better to maintain a decent level of endurance and focus on improving the speed.