Wrong. It is obligatory to put them on the wheels if mandated by the police or signage. In some instance, if this happens, AWD cars are exempted https://www.20min.ch/story/auf-diese...n-988003494717 . But not always. Be aware: it is all wheel drive, all wheel braking offer all cars and thus an AWD is only slightly better when it comes to stopping. If you do not have chains with you, you can simply not proceed with your journey hand have to use an other road or wait till the conditions are better.

There are two possible main routes to get from Zurich to the Engadin and St. Moritz in the Winter. The Julier pass road (which goes up to 2284 m) and the Vereina tunnel (car train) route were St. Moritz is the highest point of the journey. Two more possible escape routes are via Landeck Austria and Maloja-Lago di Como. If conditions are bad expect very long wait times at the Vereina tunnel.

Usually the road over the Julier pass is either free of snow or in such a condition that any car with winter tires can drive over it. Currently the road is "covered in snow" (Schneebedeckt), as are the roads in the Engadin. But there is no need for chains.
See the official map here: http://www.strassen.gr.ch/sites/stra...and/karte.html

Be aware that "covered in snow" (Schneebedeckt) is used pretty liberally. Be not disappointed if the road looks like this:



Source: https://www.nationalpark.ch/de/besuc...ebcam-schloss/

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