Are you flying ex-ZRH or another European hub? If the latter, it might be better for you to call CCC and upgrade whichever half of your trip is impacted.
For instance, I have a BUD-SCL fare booked in A on the outbound and P on the inbound. The fixed price upgrade from P to A through the app would cost me 1400CHF. However, calling in and bumping the EZE-FRA leg to A and the remaining FRA-BUD to J would make the entire SCL-BUD half fare go from P to A fare, and the price difference there is 800 CHF. So not only you save money, but you also get more points on the P->J “upgraded” fare.