Many conservatives, but not all. A shorter war might mean no Churchill in charge, and an early enough move to Dominion status (say in 1940-1) means no Cripps Mission or Quit India movement. Churchill aside, London knew quite well that India could not be held in the Empire (in whatever status) solely (or even primarily) by force; that needed a degree of consent e.g. from the Indian Civil Service, the various princes, the business class, the police, and above all the Indian Army's rank-and-file. Dominion status might have refreshed that consent for a time. Congress would not have accepted it as sufficient, but they were pragmatic enough to work in a Dominion framework temporarily, the better to achieve independence - which was certain eventually, and probably little (if at all) later than OTL.The loss of India seriously weakened the Empire and was a signal that the age of empires was ending. Many conservatives continued to oppose indian independence throughout the war, including Churchill. I’m assuming a shorter war leaves the conservatives in a stronger position. If that was the case then the British would drag their heels even more and OTL a delay of just a few months would have caused civil war. People don’t realise the extent to which violent unrest engulfed India over the 1940’s. Many parts of the country were already undergoing civil war. Of Churchill and other conservatives got their way the Britain would end up engaged in a war that it couldn’t win and that would destroy the empire on it’s own.
For this thread the question is how this would affect Africa. Might it have set a template of Dominion status as a pathway to independence? If it were seen to work that way in India, African national movements might have regarded it as a natural progression - though there's the possibility that some nationalist movements might have split on the question of accepting Dominion status versus demanding immediate independence. I don't know enough about the dynamics of African nationalist movements to say how that would have played out. Perhaps such splits would then have set up a major driver of political contestation in African states post-independence, with the 'refusers' (or Dominion status) regarding the 'accepters' as collaborators etc.