As it stands, there is no reason for G1 to use any aircraft on Paris.
The only way that changes is if Paris gets a bump in infantry/artillery/mech/tank units that tips the scales in France’s favor. So for now, the entirety of German air power gets directed completely at the UK fleets. I suppose its also possible to add some AA guns to Paris to be taken as hits to force German aircraft to support the Blitz.
They are toying around with how to adjust that slightly to make it a battle where Germany does lose more than an aircraft or two at worst by taking out the UK fleets.
However, for now, it looks like London falls on G3 unless something changes to make it more costly for G3 to accomplish it and as I just played it through this morning with the proposed changes, there isn’t much that changed other than G1 potentially having its BB and Cru exposed to a UK counter if UK decides to not scramble.