That's better solved with trademarks. (whoever would be the trademark holder - Satoshi?)
This would also prohibit any reimplementation that's not formally verified to be perfectly compatible from using the name.
It also adds legal uncertainty.
Another major problem is that it neither affects anybody forking older versions of Bitcoin, not people using existing independent blockchain implementations and renaming them Bitcoin-Whatsoever.
And what happens when an old version is technically incompatible with a future version by the Core team due to not understanding various new softforks? Which version wins the right to the name?
Also, being unable to even mention Bitcoin is overkill.
The software license also don't affect the blockchain data.