Bonsoir, yes and no. The Lycee is much cheaper which influences some, as well as a view held by others, that anything French, can be assumed to be better than anything English. There are exceptions obviously, and in education this might include Westminster or SPS being first choice with the Lycee as a fall back. Or now perhaps Latymer as well, not least because Europeans seem more comfortable with co-ed.
Even in the private sector there appear to be big differences between English schools and the Lycee. I have not heard complaints about the teaching, which seems to be well regarded. The issues seem to be the structured syllabus with a heavy workload, the odd school hours, the lack of sport in school, and the fact that it offers nothing like the same range of EC that is found in expensive private schools. That said the students we know have done really well, as well as their peers elsewhere.
One observation is that very few seem to be "proper" French with two French parents. In fact we knew one French family who eventually opted for the British system in part because having decided they were in London for the duration, wanted a school with a more settled population. Many appear to be international with Francophone links and indeed we once met a family who were third generation Lycee CDG, origionally from Lebanon rather than France. I assume it is as international an environment as you would find anywhere.
I used to pass the Lycee regularly. The students look very cool, though one marked difference is the emphasis English Schools put on behaviour whilst in school uniform. No school uniform and the Gauloises are lit as soon as you get out of school.