The Jags would have tried to put the same spin on it that they did in canon: the Inner Sphere is not only actively seeking them out, but they came very close to finding them and reporting home, thus the need to strike quickly. Information about the Federated Commonwealth would also come out, no matter which Clan captured the ship, again adding leverage to the Crusaders' call. True, in canon the Jags were able to make some edits of their own to the information to make it seem more damning (perhaps more Mongoose genes were used than innitaly belived, eh?) but the truth should be convincing enough, especaly since the truth as now known (the IS had been in a renisance since the mid 30s and had a meaningful amount of advanced tech in production by 3046 when Outbound Light departed) portrays a more advanced Inner Sphere than what we believed we saw in the late 1980s and early 90s (even to Comstar and top people in the FedCom, most of the technologies seen were poorly understood or not understood at all).
The Wolves (and just maybe the Coyotes) are the Clan that might change things. The Wolves might hide the information, and just cover the whole thing up, though that would be quite tricky (all it takes is one Diamond Shark passing through the wrong system and seeing a forign jumpship) or else selectively edit the information to make the Inner Sphere took either very weak (not worth conquoring and not a real threat) or else very strong (impossible to take on at the time, though the true information in 3048 might have said that anyway and the Clans seem to have ignored it, so that wouldn't likely work).
But, even if it was the Wolves (or Coyotes, or similar) I think the Jags and Falcons would still have gained a bit of extra leverage to push for the Invasion, and even if they didn't get the slam dunk win they did in canon, they still probably could have tipped the scales and managed to win the vote. And (as a What if that I myself planed to propose) even if the Outbound light never came, the Jags would I think eventualy have brow beat the other Clans into an invasion sooner rather than later.