Alternate 1930's British rearmament

If during British rearmament in the 30’s, the possibility of France being defeated was considered by the military what changes would that have on how Britain rearmed – I am assuming it would still rearm and the politicians and voters wouldn’t just roll over and hope for a deal.

How would France, Germany etc react to signs that Britain was expecting the worst?
 
France would be absolutely overjoyed if Britain started investing more in it army, as this would indicate that it wasn't going to leave all the heavy lifting on land fighting the Germans down to them.
 
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