MTG Salvation

I cast Body Double and i choose it to enter the battlefield as Obzedat, Ghost Council wich is in a graveyard. At the end of the turn, I choose to exile that copy of Obzedat. At the beginning of my next upkeep body double return to the battlefield under my control:

- If I choose it to enter the battlefield as another creature than Obzedat, will that creature will have haste because of the previous "It gains haste" Obzedat effect?

thanks

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