Reasonable? or am I being a crybaby?

[t206fix]

So, I got this 1936 Joe Cronin on ebay in an SGC holder labeled a Goudey Wide Pen. It turns out that it was mislabeled by SGC. It is actually a 1936 National Chicle Fine Pen (thanks to a few board members who pointed this out) which is fine with me because I didn't realize what a large card it is and probably won't keep it. When I contacted SGC, I kind of expected them to bend over backwards to fix the mistake. I mean, this is their business - correctly identifying cards and labeling them correctly. This type of mistake is a blemish on their "good name".

SGC's response was as follows: send it in, at your cost, and we will fix it and send it back, at our cost.

I know that shipping to NJ is only $4, but I expected them to pay for all the shipping since it was their mistake... They said since I wasn't the person who originally sent in the card, I would have to pay for shipping there. Which in my opinion doesn't really matter since I bought SGC's "guarantee" on the legitimacy of that card when I purchased it. They screwed up, they should fix it!

So my question is, is this reasonable? Do I have a reason to complain or am I just being a crybaby (it's only $4)?