Yes, the reason was more Comiskey than anything.
However, for the reason we aren't "ashamed" or what not of that tean, and still wear 1919 jerseys, that's a little tricky. Perhaps, as Critic said, it's because we're a little detached because it was so long ago.
My theory however, is that we are also intrigued by the whole mystique of it...did Shoeless Joe really throw it? That's the biggest part of it, nowadays. If you go up to a casual White Sox fan (not bandwagon, just not as diehard as some folks here), there is a good chance that of all the Black Sox, they can only name Shoeless Joe.
So, bottom line: we still wear 1919 jerseys and the like because A) it was a long time ago and B)we are more intrigued by it than anything else in Sox history.
Anyway, that's just my theory. Who knows.