While I agree with the sentiment that the PFD should be enshrined in the Constitution.  It is an extension of the PF amendment, which if anyone read my comment on the AK Supreme Court's decision they got very wrong by ignoring the court's own definition, and there is clearly a need to "lock the box."  However, I have to say that it is more accurately an "entitlement" than a "right."
"Rights" are a fungible term and often tossed around for rhetorical benefit.  Some refer to rights based upon some natural or all-mighty origin (assembly and free speech).  Some refer to rights based upon long standing history and tradition (possess firearms and free press).  But I have a hard time finding any basis for calling a disbursement of the PF be it a check, deposit or even offset of the cost of state services aka taxation, a "right."