out of those 25 1st round draft picks.... only 3 players have scored 20+ goals in a season with the Rangers...
I knew it was bad but I didn't realize it was that bad
It's not the best list, but you make it sound worse than it is.
Out of those 25 players, 11 were defensemen or goalies who you couldn't really expect to score 20+ goals. One of the players died before he could get to the NHL, another two are too young to have had a realistic shot at 20 goals yet. So you are down to 11 players.
Of these 11 players, four actually scored 20+ goals for the Rangers (Kreider, Miller, Chytil, Lafreniere) in a season. Kakko came close, while Korpikoski got traded before he really had any chance. Meaning five never got close, which is quite bad, considering the lowest pick of them was 12th overall, but not as bad as your statement suggested.
There are some disappointments among the really high picks, but the outright flops are mostly from ages ago. The Rangers had some good teams at times during this period, so it's not that surprising if a prospect got stuck, or was traded for an established player before he broke out. Still, it cannot be overlooked that most of the best careers on the list largely happened elsewhere.
1 EJ Emery 2024 (30) -> too early to say, and late 1st anyway
2 G. Perreault 2023 (23) -> too early to say, and late 1st anyway
3 B. Othmann. 2021 (16) -> too early to say
4 A. Lafreniere. 2020 (1) -> disappointing for a 1st overall, but otherwise pretty solid
5 B. Schneider. 2020 (19) -> good career so far
6 K. Kakko. 2019 (2) -> disappointing for a 2nd overall, but still pretty decent player
7 V. Kravtsov. 2018 (9) -> flop
8 K. Miller. 2018 (22) -> good career so far
9 N. Lundkvist. 2018 (28) -> solid career for a late 1st so far
10 L. Andersson. 2017 (7) -> flop
11 F. Chytil. 2017 (21) -> good but with health issues
12 B. Skjei. 2012 (28) ->very good NHL-career, especially for a late 1st
13 J.T. Miller. 2011 (15) -> very good NHL-career
14 D. McIlrath. 2010 (10) -> flop
15 C. Kreider. 2009 (19) -> good NHL-career with a late burst and a high peak
16 M. Del Zotto. 2008 (20) -> solid NHL-career
17 Alexei Cherepanov. 2007 (17) -> died early
18 B. Sanguinetti 2006 (21) -> flop, but pretty late first so not that unusual
19 M. Staal 2005 (12) -> 1000+ games played, very good career
20 A. Montoya 2004 (6) -> disappointment, career-backup, traded before he played for the Rangers
21 L. Korpikoski 2004 (19) -> decent(ish) NHL-career, but traded before he could do much for the Rangers
22 H. Jessiman. 2003 (12) -> flop
23 D. Blackburn. 2001 (10) -> career derailed by injuries
24 P. Brendl. 1999 (4) -> flop
25 J. Lundmark. 1999 (9) -> flop