RFA offer sheets

One question I have been asking for years (and I believe I’ve even asked publicly, ie on hfboards) is this: why does the fact that few players sign RFA offer sheets automatically mean those sheets have not been offered? I’ve never understood the assumption that players will a) automatically go with the highest bid (although if it’s millions more they’d be crazy not to, unless they’re married to FCP’s wife), and b) if we don’t hear about an RFA offer sheet, that means none has been made.
We assume that hockey players are greedy bastards just in it for a buck, and then complain when they live up to those assumptions. There’s a fundamental disconnect in the branez of many fans, and that’s just one example. (Another is the “life isn’t EA Sports” – just because I get offered a pair of first round picks for a guy doesn’t mean I’ll take ’em.)