I don't think so, but it would depend on the dying mage...
A wizard has a mind of steal. Magic, his own personal magic, is at the heart of everything he does. A death curse is taking his own life force and channeling it as a spell.
Someone whose magic isn't personal, who is just channeling the power of another, I don't see them as being able to do that. BUT (in caps for a reason) not all people using sponsored magic are the same.
Let me see if I can show what I mean through examples:
Last week Dave made a deal and POOF he's got sponsored magic. He showed off his magic, did all sorts of things, and someone he pissed off is putting Dave in his grave. Dave shouldn't get a death curse.
900 years ago, Steve linked with something. Through gifts and magic, Steve is still going strong today - or was until someone put a sword through his guts. Steve should get a death curse.
The difference? With Dave the magic is clearly an add-on but with Steve it's been a part of him so long that it's not just an add-on but integral to who he is.
So in my opinion (and it's just my opinion here since we haven't seen a lot of sponsored magic in the books) the answer is no, with exceptions. Maybe based off the total refresh level of the dying man, maybe based off of how many aspects he has that relates to his sponsored magic, maybe based off of his sponsor...
Speaking of sponsors, Outsiders (and their servants the Old Ones) don't follow rules. They bend reality by existing near it. So in that case, the answer could easily be yes or no or purple - and purple makes perfect sense in the zone where they've warped reality.
Richard