At one point, Paramount really didn't want Star Wars and Star Trek licenses with the same company. Last Unicorn Games had the Star Trek license in the late 90s, and when they fell on economic troubles Wizards of the Coast bought them, primarily with the goal of acquiring that license. However, Wizards at the time weren't all that good at business, and missed that the license agreement specified that Paramount could cancel the license in case of acquisition, and didn't make sure Paramount were on board. So as the acquisition was finished, Paramount canceled the license because they didn't want the same company to make rules for Star Trek and Star Wars (presumably because they didn't want people to have rules that could determine if the Enterprise could take a Star Destroyer).
Of course, that was in 2000, and Paramount have gone through a lot of changes since then, so who knows what they'd say today.