I saw a tweet this morning that I can no longer find that showed the % of players drafted from 2013-2022 who have made the majors, by club. The Nats were in the lower third at 13%, median was 14%.
Here's the list:
2013: Pivetta(4), Voth(5), Garrett Hampson(26), Caleb Hamilton(38), Shaun Anderson(40)
2014: Fedde(1), Andrew Suarez (2), Reetz (3), Austen Williams(6), James Borque (14), Tommy Doyle (35), Stuart Fairchild (38)
2015: Stevenson (2), Blake Perkins (3), Taylor Hearn (5), Koda Glover (8 ), Taylor Guilbeau (10), Max "future MVP" Schrock(13), Coco Montes (35)
2016: Kieboom (1), Dunning (1), Neuse (2), Luzardo (3), Daniel Johnson (5), Tres Barrera (6), Noll (7), Braymer (18), Sterling Sharp (22), Mat Mervis (39)
2017: Seth Romero (1), Wil Crowe (2), Tetreault (7), Bryce Montes de Oca (15), Jake Cousins (20), Bennett Sousa (34), Klobosits(36)
2018: Irvin (4), Cody Wilson (13), Aaron Fletcher (14), Evan Lee (15), Andrew Nardi (39)
2019: Willingham (17), Alu (24)
2020: Cavalli (1)
2021: None
2022: None
Some of the very low picks didn't sign and got re-drafted later by other teams. Nardi, for example, was drafted by the Yankees in 2017, the Nats in 2018, and the Marlins in 2019. He's currently pitching well with Miami.