So long as there is at least one decent source (not "ancestry", "ancestry tree", "family search", or the like - especially on older profiles) it is no longer unsourced and the template can be removed.
If it still needs other sources for vital events (birth, death, marriage (if there was one)) - and a maintenance category exists for that, it can be added.
Example would be if I have a profile that has only a source for the death, and the person was born in - say - Victoria, and married in Queensland, I can add the maintenance categories for those events :
[[Category:Queensland, Needs Marriage Record]]
[[Category:Victoria, Needs Birth Record]]