Actually the BBC would likely to bundle that in with everything else from Top Gear. The Stig was Clarkson and Wilman's creation but as intellectual property it belongs to the BBC, ditto SIARPC, Cool Wall and just about every other regular feature that they came up with including the names of the corners on the track although I understand the layout of that is being changed so they may come up with new names for those. Clarkson derived the originals from classic rock bands, hence Chicago etc.
Expect the CE era ones to be called Britney, Beyonce, Bieber....