The spell specifies that the psyker is turned into a Bloodthirster, Great Unlean One, Keeper of Secrets or Lord of Change. So I would say no as it doesn't specify the named deamons, that said if you really want to get funny about it there is no generic bloodthirster anymore is there? SO arguably by the same logic you can't summon a bloodthirster.
EDIT: I forget Codex: Chaos Deamons is still a thing so ignore my last point....
Me: To be honest im amazed there isn't a chaos god of not revising or at least chaos god of procrastination
MidnightSun: There will be, when enough people do it. Y'know when the Eldar were all engaging in their hedonism and Slaanesh ripped open the Eye of Terror with his creation? Slaanesh will have NOTHING on the God of Procrastination, and his vile minions will carve the galaxy asunder in a thousand year reign of blood.... Tomorrow