https://www.digitale-gesellschaft.ch/2019/03/23/demonstratio...
(german only, sorry)
It's all a bit different than in the EU because people may be able to vote against that at some point.. Whether that happens is another question entirely, though.
Indeed having any meaningful restriction of free speech or the possibility to express it (which this legislation is about) would make me switch countries. I think that close to limitless free speech is a total base of everything. Even if other laws are really bad, like let's say death penalty, I have to have the possibility to freely speak about it to make it go away. But I can not distribute my opinion about some bad law and maybe make it go away as long as the speech itself is restricted.
Switzerland is literally surrounded by the EU, which means it has to accept most of its regulations anyway, one way or another. See the freedom-of-movement capitulation.
It doesn't really matter anyway, these things sooner or later will land everywhere. The interests aligned behind are too big not to.