Keep in mind that the insurance company is neither your friend nor your ally. As long as it pays they will do whatever they can to keep milking you.
Of course your full casko bonus (FCB) will suffer by you making a claim. But the total monetary cost of that is massively misrepresented by the insurance, so much so that it almost looks like a lie by omission.
Consider this example, bullet two at premium ladder step T11 ( here's the bonus ladder). They only calculate until you're back down at T11, but in reality you keep paying more later on still because without the claim you'd have moved down to T6 by then, and continually lower until you'd have reached T1 in 2031. After that the difference decreases by one step each year until the with-a-claim-now alternative also reaches T1 in 2036. Thus the actual cost is 5 steps on the bonus ladder each year until 2031, and 4-3-2-1-0 steps in the following years. Therefore, on the Allianz' ladder, the actual tally is 380% or 3.8*2500 (2500 is the premium at 100% in their example).
And if you make a claim now and another one (or more) before 2036, the year you reach T1 is pushed out even further thus the tally for this year's claim even higher than 380%. Of course each reader's actual tally will differ because insurance companies use different ladders and people will be on different steps on that ladder.
3rd party liability bonus (3PB) and full casko bonus (FCB) have their individual bonus value and bonus ladder (no bonus for partial casko). OP's case should affect FCB only as there's no 3rd party involved/damaged. In cases where 3PB is also affected, it needs to be considered as well in the cost calculation above, meaning the cost is generally higher still.
For the cases where your car gets dented or scratched by an unknown culprit, or where the driver has fled from the accident, you can place a claim at the Nationale Garantiefonds Schweiz . The deductible is 1k, you need a police report, and the Fonds will have the damage inspected by one of their specialists. AFAIK this will have no effect on your insurance, bonus or otherwise. This doesn't apply to OP's case, but it may have people think twice about taking parking accident insurance in the first place.
Sorry to be blunt, angoose-with-a-3k-deductible, but it seems like you're being had over a barrel from behind by the insurance agent. Perhaps unless your car is worth gazillions, but your posting history implies that you're clever and use relatively inexpensive cars with a list price in the $30k range so that's unlikely to be the case.
Men get discriminated by the insurance companies. It's usually better for the wife to get the car insured (this may be less clear in multinational marriages as nationality is a factor as well).
That said, you can get out at any time from a car insurance contract by changing the holder, including by switching it to the spouse (for a leased car you do want to coordinate with the leasing company beforehand).
And one last thing:
Full casko is generally overpriced and money wasted once the ICE car is older than 4 years. If you're not aware of that already, you may want to familiarise yourself with the diminishing "ZeitWert" according to your contract/T&C and how that affects the maximum payout. Full casko premium is a (mostly) constant percentage of the list price even if your car is 20 years old and near-worthless.