The Cross Climate 2 is the successor to the Cross Climate+, and delivers improved grip in both wet and dry conditions as well as a slight improvement in fuel economy, so there are benefits with the newer tyre. If you choose the Zero Pressure option it is likely that this will increase the firmness of the ride, so if you feel that the ride comfort is already marginal you may find that this change makes the ride less than ideal.

It is also important that your alloy wheels are designed to accept run flat tyres. If they have a 'EH' marking on them this indicates they can accept run flat tyres, but if not there is no guarantee that the tyres will perform as expected in the event of a puncture.