There's nothing to debunk. They started the season 5-13... exact same pace as the 2014 Nets team that rallied, finished the season with 44 wins, and made the second round of the playoffs.
Also, our own Celtics dug from 18 games under .500 to make the playoffs last year.
There's no telling what a healthy Nets team could have done. Could they have rallied like the 2014 Nets and 2015 Celtics? Possibly. But your own link seems to suggest that the Nets would have been significantly better off had they not lost their best two-way player (2nd in offensive rating amongst starters and 1st in defensive rating amongst starters) a mere 18 games into his rookie season.
As I said in the other thread... what's interesting about the link you shared is that it backs up how much the Hollis-Jefferson injury has impacted them:
In the "lost value over replacement player" category, the Hollis-Jefferson injury is 5th in the entire league. That's a bigger impact than games missed by Kyrie Irving (6th), games missed by Derrick Favors (7th) and games missed by Kevin Durant (8th). Shows you how losing two of their top 4 players can impact such a shallow team. If Hollis-Jefferson had continued to improve, your own site seems to suggest that the Nets would have been significantly better off.
Even negating the possibility that Hollis-Jefferson continued to improve, the team started to mesh, and they followed the 2014 path where they rallied and finished above .500.... Had they simply remained 8 games under .500 they'd have a record around 23-31... same amount of wins as the Wizards and flirting with a pick in the expected 12-17 range.
Luckily, the Nets have been mutilated with devastating injuries that have ravaged that desolate lineup and lay waste to their playoff hopes. Here's hoping they continue to stink and the pick stays projected in the top 5. There's still half a season left to play... here's hoping the Nets don't make some significant moves and start clawing out of the lotto.
Also, there's nothing to debunk since the "Nets injury myth" doesn't actually exist. There's nobody here that genuinely thinks the Nets were a Hollis-Jefferson away from making the playoffs. If anything, there's a tiny (perhaps singular) collection of fans(fan) who are half-heartedly clinging to the "Nets could still turn this around" stance so not to jinx our good fortune.