RFF itself gives "a bit more than 3h" after Bordeaux-Toulouse is built. I don't remember where I read 2h30m for a direct route to Toulouse, but the figure can be supported by simple calculation. (The distance would be somewhat less than to Marseille, and line speeds higher throughout. A 280 km/h travel speed is quite possible, even is we remain conservative and expect only 320 km/h top speed with accelerations as today: TGVs achieve 260 km/h average on a much shorter distance between two stations of the TGV Mediterranée.)

_{*Lunatic*, n.
One whose delusions are out of fashion.}