Hurt's Doctor is a past version of 10 and 11, so all events that happened to Hurt's Doctor happened to 10 and 11 also.

If you recall, at the end of TDOTD, Hurt's Doctor says how he won't remember any of the events that took place, and instead he would only remember destroying Gallifrey in lieu of saving it. But they don't actually destroy Galiffrey do they? So how can 10 and 11 remember destroying Gallifrey? The thing is, is that they don't!  

The War Doctor already the intention of destroying Gallifrey before the events of the Day of the Doctor, so when he forgot everything that took place from when he stole the Moment up until his regeneration into Eccleston, I guess that afterwards he could logically reason that he must have destroyed Gallifrey and his memory must have been wiped during the ordeal somehow. And  as Gallifrey wasn't there anymore when the War Doctor regenerated, the only explanation to that would be that he destroyed it. 

Also, we know 10 and 11 couldn't have destroyed Gallifrey, because the Silence wanted to kill him to prevent him from bringing back the Time Lords into the universe (and this was before the Day of the Doctor, before the 11th Doctor had the chance to see his old self again). No Time Lords== No Silence and most of the 11th Doctor events wouldn't have happened.