I disagreed with J_E when he had the same exact argument in basketball, and in baseball I disagree significantly more here.
Mike Trout was picked 25th in the draft. Heyward 14th. Lincecum 10th. Ellsbury 23rd.Weaver 12th, Papelbon 114th. Ethier 62nd. Those aren't lucky examples either, in baseball, there are fewer sure things, and more talent later in the draft.It is one thing if they can get the #1 pick, but with complete losers like the Marlins out there, they are looking at #4 or higher, and that isn't worth bombing the season for.
The best way to go is sign a pile of high annual value, one or two year contracts on players who will rebound, and be good enough to offer arbitration and get those sandwich round picks. There is going to be more value in two picks in the low 20s/30s than one pick in the lower digits.