IIRC they run a synchrnoised grid all the way from poland to portugal.The main reason is the near impossibility of synchronising the phases of the two countries.
Afaict there are three main reasons for using HVDC in international links.
1: capacitive losses, underground/undersea cables have much higher capacitance to ground than overhead line. In an AC system those capacitances cause increased losses (both from any non-ideal behaviour in the capacitors themselves and from the current flow caused by constantly charging and discharging them).
2: political considerations, runing a synchronised grid requires you to cooperate to run the whole thing as one big grid. That may be politically difficult in some cases (I wouldn't think this would be too big a deal between britan and france though
3: incompatible systems (this one clearly isn't an issue in the britan to france case)
I strongly suspect that if we had a land border with france we would have an AC link between our grids.
