The Veteran's Committee put him in in 1995. The highest percentage he ever got from the writers was 41.7. But even now he is still 98th in career WAR among position player at Baseball Reference. Fangraphs has him at 127. Through 2001, he was tied for 115th among both pitchers and hitters in Win Shares.
Ashburn had over 2500 career hits and nearly 1200 walks to go along with a career AVG of .308 and OBP of .396. He had little power with just 29 career HRs, but he stole over 200 bases at time (the 1950s) when there was not much stealing going on. He had 109 career triples, leading the league twice.
He finished 4th in WAR once and twice 5th (from BR). His peak value might be stronger if those were all consecutive years, but they were not. He did, however, have 7 top 10 finishes. He also had 5 top 10 finishes in defensive WAR, including 3 in the top 5 (that is among all position players).
He had 11 seasons with at least 20 Win Shares. Bill James says that is an all-star type season. 8 of them were 25 WS or more. He had 7 top 10 finishes (that combines pitchers and hitters). He finished in the top 5 in fielding WS among NL outfielders 11 times, including 3 first place finishes.