You need to read Baughen's books. The documents he has unearthed show the French wanted unlimited battlefield support - the RAF could have put its entire fighter and bomber force into attacking battlefield targets without any protest from the French. What the French didn't want was an attack on German industrial targets because they were located in German cities and the French didn't want to start tit for tab bombings of French cities.Our points arent mutually exclusive
You are arguing that the RAF didn't get behind air support.
Im arguing that even if they had it would have been negated by the political constraints placed upon it and the fact it was piecemealed out rather than concentrated**.
In other words im not challenging your point viz the RAF just doubting if different it would have made a tangible difference given the French doctrine and restrictions.
**I didn't raise this point in my previous it should have been 3)
The constraints were those put in place by Newall and Portal who regarded battlefield support as a waste of effort and only strategic bombing as likely to deliver results. Similarly, the reason Dowding was so insistent that no more fighters be sent to France was the fear that Germany could knock out the UK by strategic bombing even if France held out and the fighter force went to France to support the French.
Much the same thing happened in Greece - the Greeks wanted battlefield air support; the RAF ineffectively bombed the ports the German troops were coming through. There were huge political repercussions with even Roosevelt getting p!ssed off at the RAF.