I don't agree. He's out there. His name. His work on the field. The other guys are throwing turds anonymously over the internet.
Plus, the players actually have the benefit of knowing what's going on in a way that these average fans do not. They know what plays were called, what the responsibilities were, what the reads should have been. If not when they run the plays, then the day after, when they cover the footage in the meeting room. The fans are just guessing or, in most cases, going off of who's in the frame of the tv shot they happened to see. They might have been drunk. They might not really know much at all about football. Yet they consider it their prerogative to log onto twitter and go after a guy, or a guy's family, and justify it because they spent money on beers and a jersey at some point along the line.
It doesn't go both ways at all. Now, if Beasley's tweet to your account, drunk, telling you how much you suck at your job when he doesn't really fundamentally understand what you do for a living or why, well, then I take it all back. In which case, I'd say you have a right to tell him to eat a breathmint, too.