Should we amend NJ State resident & NY State Non resident return, if amended Federal Return is filed to add dependent for "Credit for Other dependents" deduction in 2018?

I want to amend my 2018 federal return as I want to apply ITIN (Form W7) for my dependent after I filed my original return for 2018 to claim "Credit for Other dependents" as my dependent is not eligible for SSN. If I amend, the federal return for this purpose, am I required to amend NJ State Resident return and NY State non resident return as well?

Because generally the notion is if you amend federal return, you must amend State returns.