Well if there's no Paris service from LGW then why not start a Paris service from LGW?
There's a service to France from Lydd ... Oops ... 'London Ashford Airport', that's a real winner, last I heard it was operated by a BN3 and some 2 or 3 services per week, if there were a call for Paris or anywhere else I'd imagine Lydd Air would have long ago caught on to it and might already be operating to/from ESH.
Timetables and Fares