Switzerland's veterinary costs are consistently among the highest in Europe, which shifts the cost-benefit calculation on travel pet insurance more clearly in its favour than in, say, southern Europe. A routine consultation running CHF 60–120 is only the starting point; a genuine emergency or surgery can run into the thousands.
If your existing pet insurance is domestic-only, check specifically whether it covers veterinary treatment received in Switzerland — a non-EU country — since some policies limit coverage to EU-only travel and would need a separate travel add-on.
Keep any policy documents and an emergency claims phone number accessible (not just saved on a device that might run out of battery), and confirm whether the policy requires you to pay upfront and claim reimbursement later, which is the more common arrangement for care received abroad.