After visitin Tau37 to check out the wreck myself I concluded the following.
You nonces are actually seeing that sun as object unknown and that is what it is, no flying into it is gonna do nothing but get you burnt alive along with your ship and precious cargo.
Try fly around the sun, and go to the north of the map to co-ordinates E2 (note: NOT THE CENTRE OF THE BURNING SUNS AND STARS)
There's a jumphole to omicron alpha nearby and just above it you shall find your precious griffin and it's worthless dark blossom. (note: NOT THE CENTRE OF THE BURNING SUNS AND STARS)
Rather surprisingly the only obstacle you have to avoid to get it is a rock, which the ship appears to be embedded in.
hehe a bit ott but I'm just rolling around the floor laughing cus you didn't select object unknown and notice the box around the burning sun/star denoting that it is in fact NOT the griffin wreck