It's a bit more complicated than that.
Rather than try or pretend to be neutral, Swedish newspapers tend to outright state their political affiliations/biases. (e.g. "Skånska Dagbladet is close to the Centre Party"[0] "Aftonbladet describes itself as an independent social-democratic newspaper"[1]). This results in the newspapers having protection of the parties they support, rather than the legislature-du-jour, and an attempt by the government to influence an opposing newspaper would quickly gain political attention.
[0] https://en.wikipedia.org/wiki/Skånska_Dagbladet
[1] https://en.wikipedia.org/wiki/Aftonbladet