Players union chief Michael Young suggested at his All-Star Game gathering that some appeals may indeed last into the winter, though MLB higher-ups would prefer to settle things as soon as possible, of course. Weiner also said that in cases where the evidence may be overwhelming, some players may simply accept the punishment.
If their punishments last into next year, their free agency also could be affected. Presumably, any ban would hurt their free-agent deals (one GM estimated Cruz was looking at maybe $13 million or $14 million a year for four years, but might have to settle for a less lucrative two-year deal, a la Melky Cabrera, if he receives a ban). But a suspension that carries over into the free-agent year would cost them even more significant dollars.
So that could be another big reason not to fight a ban. Rodriguez, as has been well chronicled, is in the middle of the biggest contract in baseball history. The other three players on American League contenders, though, are free agency-eligible after the year.