Hi Nigel, [and Rosalyn (did we meet on the walking tour in Lyon?)]
My pleasant discovery, might even be more pleasant since you are a party >1,
is that if you ask your hotelier how much the taxi to the airport is,
and then have them call for a car service, you can get a reserved car
for the same price or less.
Variation on this would be to take train to the station you mention or similar,
and then get in a taxi for the final kilometer or two..
More specifically, I left from Nice airport on my last morning from a hotel in Juan les Pins,
and the concierge called the evening before to get a car service, who agreed
while I was standing there at the desk to a final price slightly less than an on-call taxi.
When I came to the desk in the morning, turned out I had an entire Mercedes minivan to myself,
at the bargain taxi price.
To contrast, the local train on that line from the Antibes peninsula is really local -- there are small
stations that don't make themselves noticed from the regional trains. I'm guessing the bus mentioned
in the RS Provence guide is even stoppier.
Too much info more: I descended from one of those very local trains in Antibes and got in a taxi,
told the driver my hotel, and he raised an eyebrow at me said 'do you mean the one in Juan les Pins
or the one in Cannes?' Turned out I should have stayed on the train for two more stations at least,
and the taxi from the Antibes train station to near-the-water in J-l-P was comparably priced to the reserved
minivan from J-l-P to the Nice airport!