Are you familiar with the TimescaleDB license[1]? It basically means open source but companies cannot just take the product and offer it as a (paid?) service. They are allowed to provide other services services that are built with timescale underneath but not offer the product itself as a service.
Treat it like code. Do some refactoring and that's it. I do see your point, if the license had to be written from scratch.
But you already have a template. Use it.
[1]: https://github.com/timescale/timescaledb/blob/master/tsl/LIC...