They did seem to neglect drafting pitchers to some extent, but they were also God-awful bad at it, so maybe it wasn't such a bad idea in that light.
Here's a summary, since 2001, of our top draft picks, in terms of pitching:
2001: our 1st pick was Lester, we then picked a pitcher in 3 of the next 5 picks (none of note)
2002: 1st pick Shoppach (only 1 of top 5 picks was a pitcher).
2003: David Murphy #1. 3 of top 6 were pitchers.
2004: Pedey. Next 4 were pitchers.
2005: Ellsbury. Next 3 of 4 were pitchers (Craih hansen, Buch & Bowden)
2006: Jason Place. Next 4 were pitchers (Masterson)
2007: LHP Nick Hagadone (traded). 2 of next 4 were pitchers.
2008: Casey Kelly (traded for AGon). 3 of next 4 pitchers (S Fife).
2009: R Fuentes (1 of top 5 was P)
2010: VTek (2 of 6 were P)
2011: Barnes (Owens 3rd) 3 of 6.
2012: Marrero. Next 8 were pitchers !!! (B Johnson, PLight, Buttrey)
2013: TBall (7th pick overall), then Stankiewicz with #45. 2 of next 3.
2014: Chavis. 3 of next 4 (Kopech-traded for Sale)
2015: Beni. 1 of top 5 (Lakins)
2016: Groome (#12). 3 of next 5 were P (S Anderson & Nogosek-traded)
2017: Houck (#24). 3 of next 5 were P.
2018: Casas. Only 2 of next 7 were p. (Ward & Feltman)
2019: Cannon. 2 of next 3 were P (Song & Zeferjahn)
2020: Yorke, then Jordan, then 5 pitchers in a row.
We picked 'em; they mostly sucked.