I think it's a whole lot more likely that a really good goal-line target could, by random chance, catch just one TD in eight targets, than think that Gonzales is a well below average target near the red zone.
Exactly.This is one of those situations where the stats are misleading and you really just need to put a little more emphasis on what you actually see in games.
Right...

And what we've seen in games is Gonzo not making plays at the goal line. It's not like he's not been targeted; he remains among the league's most targeted goal line receivers.
You've posted some persuasive stats that I wasn't aware of. But there are still a few things.1) We've got no idea what the correlation is from year to year of red zone effectiveness. If it's near zero (which I don't think it is, but I don't know), then these numbers are just about meaningless.
2) I still need an explanation. For example, if the next 100 coins I get in line at the bank all are heads, I'm still going to think that was more likely to happen by random chance then:
1) There's a government conspiracy plot to hand me coins facing heads-up
2) All the coins in my area have heads on both sides
So even something where it seems really unlikely that it could happen by random chance, still might need an explanation before you rule random chance out. And honestly, I can't think of any explanation for Gonzales that would make me downgrade him in the future.
Do you have any explanation?
Again it gets back to using our eyes...Gonzo doesn't have the ability to get separation against solid coverage any more and/or (as LHUCKS suggested), teams have figured out how to defend him. If the Chiefs had changed their receiving situation, perhaps by finally adding an legit WR2 to change the way teams could scheme, I would be inclined to ignore Gonzo's woeful ranking; but they're still trotting out Eddie Kennison and ????
From 2002-2004, Gonzales had 16 TDs on 65 redzone targets. Randy Moss had 20 on 88; TO 19 on 65; Chad Johnson 12 on 58; Rod Smith 11 on 49; Eric Moulds 9 on 62.
Ah yes...more fun with numbers...first of all, why did you choose those particular players? Particularly when they're WRs and a fairly odd lot of them, no?
TDs per target in the red zone
Gonzalez (2002-2003) -- 13 TDs/41 Targets = 32%
Gonzalez (2004-2005) -- 4 TDs/36 Targets = 11% :X
Moss (2002-2003) -- 11 TDs/67 Targets = 16%
Moss (2004-2005) -- 11 TDs/37 Targets = 30%
Johnson (2002-2003) -- 7 TDs/35 Targets = 20%
Johnson (2004-2005) -- 9 TDs/24 Targets = 22%
Smith (2002-2003) -- 7 TDs/22 Targets = 21%
Smith (2004-2005) -- 9 TDs/28 Targets = 32%
Moulds (2002-2003) -- 6 TDs/38 Targets = 16%
Moulds (2004-2005) -- 5 TDs/44 Targets = 11% :X