I strongly suspect that there would have been less of a Norway Scandal had there been a Different person (that is not Churchill) in charge of the Royal Navy in early 1940.
There would not have been the Norway debate- hence no coalitiion at that point.
Chamberlain had decided that there was no pont in doing deals with Hitler because his word was worthless.
Events in 1940 might have followed similar course except that the Coalition would get formed in June 1940 in reaction to the fall of France...
Absent Churchill does Britain do better. Churchill thought of himself as a sttategic genius. IN hindsight maybe he was not
(Edit: Possible timeline

Chamberlain lets Hitler invade Poland in 1939 with nothing more than diplomatic protests (and a severance of all but the most basic diplomatic communications), because absent Churchill nagging away in the late 1930's the UK is even
less prepared than in the Original Timeline and can't declare war in 1939. There's probably an embargo on British companies buying or selling to Germany.
Chamberlain possibly has to resign over Poland though, and without a war starting a General Election gets called (one is just about due; sufficiently so that it probably makes sense to call one in the wake of the invasion of Poland, rather than waiting a bit longer for when it might otherwise naturally come).
It takes the British a couple of months to sort themselves out politically, whilst efforts to play military catchup with Germany are ongoing. Meanwhile, no war (yet) with Britain and France means no blockade and Germany continues to trade on the high-seas. Hitler's generals and the German population are even more in awe of Hitler - now he's taken over most of Poland, without anything being done (except the British government collapsing).
I don't know that Labour can get a majority in the UK in late 1939; probably not, but let's say the Conservatives get returned with a much reduced majority.
Much frantic rearmament takes place in the UK. Possibly there are desperate behind the scenes discussions with Italy and Russia (although I've read comment to the effect that Chamberlain hated and mistrusted the Russians; sufficiently so at least to refuse any notion of an alliance with Stalin after the rest of Czechoslovakia got devoured in 1939); there are certainly discussions with France. I don't know if the invasion of Poland brings the French government down.
Hitler starts planning
Operation Barbarossa, convinced that the British and French will
never lift a finger to stop him. These silly trade sanctions will go away eventually; this is just face-saving posturing to their people. (And don't they hate the communists, too?)
That's my thoughts on 'what if no 1930's & 1940's Churchill?'