JRT, Jens,

I think the RAF were generally happy with operating the medium range twin engined bomber until the Blitz began in late 1940 although the heavies were already flying and under development. Both countries were involved in a European war where targets were usually within the range of the aircraft currently in service. In the case of Germany, the blitzkrieg policy was expected to carry the day in Russia when, inevitably, and without the need for large bombers, the time came. The long range heavy bomber strategic policy of the RAF came as a result of German expansionist aims and all the British heavies had been designed and flown before WWII began except for the Lancaster which was a later development of the Manchester. Clearly, the strength of thinking that led to that hugely destructive force was not paralleled in Germany after Wever's fatal crash.

The Ju89 and Do 19 both flew towards the end of 1936 around the time of Wever's death, but with the main champion now dead, the thrust went out of the heavy bomber philosophy and only returned when it was too late to play a significant part in the progress of the war - when German interest was hastily rekindled by the appearance of RAF and USAAF heavies in the increasing formations of late '42.
By that time, when Germany was fighting a defensive war, the Me262 would have been a much more effective option than production of heavy bomber types, providing that the very highest priority was given to its development including that of jet engine high temperature resistant metals instead of frittering away shrinking resources on a plethora of other projects.