Native Anglo-Danish elite all submit to King William

What if the English nobility (those who had not been killed at either Stamford Bridge or Hastings) had declared their allegiance to Duke William after the battle of Hastings and if there had not been the resistance that there was to his rule? How different would both England and the Normans have been?
 
Not much as William had to reward all those who came across with him.
He might just have started with the lands and titles left vacant but that wouldn't have been enough.
 
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