Is Yasiel Puig The Best 22 Year Old Since Ted Williams In 1941?

I found all the 22 year old guys with 200+ PAs and at at least .1 WAR. Then I ranked them by WAR/PA. Here is the top 25. Of course, there are still about 45-50 games left, but this is still impressive.

Rk	Player	PA	WAR	Year	WAR/PA
1	Ross Barnes	239	4.3	1872	0.01799
2	Ted Williams	606	10.6	1941	0.01749
3	Yasiel Puig	234	3.6	2013	0.01538
4	Ty Cobb	651	9.8	1909	0.01505
5	Eddie Collins	660	9.7	1909	0.01470
6	Stan Musial	700	9.4	1943	0.01343
7	Rickey Henderson	493	6.6	1981	0.01339
8	Jim Fregosi	591	7.9	1964	0.01337
9	Eddie Mathews	600	7.8	1954	0.01300
10	Cesar Cedeno	576	7.4	1973	0.01285
11	Davy Force	227	2.9	1872	0.01278
12	Tris Speaker	608	7.7	1910	0.01266
13	Dick Allen	709	8.8	1964	0.01241
14	Pete Reiser	601	7.4	1941	0.01231
15	Sherry Magee	568	6.9	1907	0.01215
16	Joe Battin	289	3.5	1876	0.01211
17	Joe DiMaggio	692	8.2	1937	0.01185
18	Rogers Hornsby	466	5.4	1918	0.01159
19	Vada Pinson	660	7.6	1961	0.01152
20	Alex Rodriguez	748	8.5	1998	0.01136
21	John McGraw	459	5.2	1895	0.01133
22	Cal Ripken	726	8.2	1983	0.01129
23	Boog Powell	506	5.7	1964	0.01126
24	Bob Caruthers	382	4.3	1886	0.01126
25	Johnny Bench	671	7.5	1970	0.01118