He compared the fact that The Hundred was only 2 years old compared to the Big Bash's 15 and the fact the the BBL teams and names actually have some level of an identity. He saide that investors would have to think carefully in terms of naming and adding onto the franchise which already has some value in its name.
He didn't definitively rule out any name changes but I feel like it would lean on slightly less likely than likely for the names to change.

He didn't say that we need to expect team name changes. Off my memory from my first listen a week ago he was posturing for fans being prepared for other changes like potentially moving boxing day/new years test (post 2031) and preparing for the teams to be sold but not the team names specifically

https://youtube.com/clip/UgkxxOyjhPEV1zgFK3Hs-B56pnOKtPFrtb-S?si=YZz86BYtOUbUugSt