Well, I wasn't going to, but now that you mention it...
The header is made from 0.125" thick mild steel tubing, and there are plenty of studs holding the thing to the head, so I wouldn't think it would be that big of an issue.
The stress cracks on the welds appear to be from the header expanding lengthwise, not so much from the weight of the turbo. One thing I'm worried about with a brace would be over-constraining the movement of the turbo as the header heats and cools. As the header heats up and expands, the brace would not, which might end up putting more stress on the header than the weight of the turbo in the first place.
I'm gonna think on this a bit more, though...