For one nonpartisan quantitative analysis, Freedom House gave Turkey a 32/100 ("not free") score on its 2022 global freedom scale [1].
[1] https://freedomhouse.org/country/turkey/freedom-world/2022
[1] https://freedomhouse.org/country/turkey/freedom-world/2022
All of these restrictions on freedom might have been introduced for good reason according to some people, but they very much have been introduced, and very much restricted freedom, so if those don’t count according to freedom house, I can scarcely consider this “quantitative nonpartisan analysis” to be worth much.