Perhaps in a bombing raid, the cause does not matter.
How would he have been remembered, without having led Britain through dark times?
His... less than politically correct opinions and positions would be more well known, but they would change depending on the people being asked.
Indians? Absolutely loathed them and Hinduism. (They are a beastly people with a beastly religion), so the Indians of today would no doubt loath him as a symbol of the British Empire, though without the Bengal famines, no one would be accusing him of genocide.
Islam? Respected individual Muslims, but hated their religion. (The influence of the religion paralyses the social development of those who follow it). Islam wasn't really a controversial subject back then, but British nationalists of today would be citing Churchill as the final word on Islam.
Eugenics? Honorary Vice President of the British Eugenics Society. He would've likely been smeared with the same brush as the Nazis for this particular opinion.
Race? Thought White Protestant Christians were on the top of a racial hierarchy, with Indians being above Africans. He would've been the darling of American and British conservatives alike.
Unions? As Home Secretary, he sent in soldiers to support police at Liverpool where two strikers were shot dead. He would've been despised by the British political left and seen as an aristocratic relic of the British Empire's capitalist heydays.