"alleged objective" is correct and usable in written English.
You can use it to refer to something that a person or groups is thought to be aiming for, but which cannot be proven or verified. For example: The police have not yet been able to find any hard evidence linking the suspect to the crime. However, some have speculated that the suspect's alleged objective was to obtain financial gain.
But they should have something to say about what makes an alleged good an objective good, one worthy of pursuit (Sumner 1996, Sher 1997).
So Kant's explanation of objective experience appeals to them, and not to the effects of any alleged mind-independent objects.
At the International Criminal Tribunal for the former Yugoslavia (ICTY), the prosecution alleged that, "It was the objective of the Serb forces to detach this area from Croatia and to annex it to Montenegro".
It is another matter entirely to allege specific objective facts known to the prosecutor of sufficient importance to justify a conclusion that he violated a constitutional duty to disclose.
Being tied to the OPEC Cartel, their objectives can readily be alleged to be at clear variance with those of a stand alone refinery needing to source its crude oil in the marketplace.
Elected officials across the political spectrum have called for an independent counsel, saying a probe by prosecutors could not be objective, given that they are alleged to have accepted bribes.
The American philosopher Nelson Goodman alleged that there is no distinction to mark, because objective similarity is a myth.
Because materiality is judged according to an objective standard, the materiality of Amgen's alleged misrepresentations and omissions is a question common to all members of the class Connecticut Retirement would represent.
They were alleged to be particularly active in the then paramount Communist Party objective, namely, defeat of the preparedness program".
The soprano claimed she was a resident in neighbouring Andorra at the time but it was alleged she was actually living in Spain "with the sole objective of not paying taxes to the Spanish state".
