Ah, so its very similar to the AppleCare+ the only main differences is that with Allianz you pay CHF 80 per event, and with Apple 50. But the Allianz insurance covers also Theft! Would theft be covered anywhere in the world or only in Switzerland? Cant find this on the details.
Normally you have theft included in your house insurance (Hausrat Versicherung). For me that one covers theft all over the world, as long as I file a police report. The maximum amount of value it covers, depends on how much you set, and of course how much you pay per year. I for example have theft set to 3000 CHF, so it would cover my whole backpack being liftet. (Macbook, phone, wallet....)