Seems as though they're hanging their hat on the fact that Bags was on the W.S. roster and that he is no worse off now than then.
Certainly "los tossers" would use something else if Bags had not made the W.S. roster, but the policy does not seem to use the words "full time starting NL player" and only says "player, non-pitcher", which presumably includes for pinch-hitting only.
Anyway, this kind of shit can drive you crazy.